Number

768

Positive
Even
Composite
3 digits

768 is an even 3-digit integer and a composite number. It has 18 divisors and a digital root of 3.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value768

Digit count3

Digit sum21

Digital root3repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^8 × 3

Distinct prime factors22, 3

Number of divisors18

Sum of divisors σ(n)2,044

Aliquot sum1,276sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)256integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 76818 in total

Arithmetic

Previous number767

Next number769

Double1,536

Half384

Square589,824

Cube452,984,832

Square root27.712812921≈irrational, shown to 9 decimal places

Cube root9.15771394≈

Negation-768

Reciprocal0.0013020833≈

768 factorial1824200416981257450057730991627029280593… (1,885 digits)

Representations

Decimal768

Binary110000000010 bits

Octal1400

Hexadecimal300

Base 36LC

Roman numeralDCCLXVIII

In wordsseven hundred and sixty-eight

Ordinalseven hundred and sixty-eighth

Scientific notation7.68 × 10^2

Engineering notation768

Nearest landmarks

Next prime769+1

Previous prime761−7

Distance to nearest prime1

Nearest square below729

Nearest square above784

Powers & multiples

768 to the power 2589,824

768 to the power 3452,984,832

768 to the power 4347,892,350,976

768 to the power 5267,181,325,549,568

First ten multiples768, 1,536, 2,304, 3,072, 3,840, 4,608, 5,376, 6,144, 6,912, 7,680

Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5No, remainder 3

Divisible by 6Yes

Divisible by 7No, remainder 5

Divisible by 8Yes

Divisible by 9No, remainder 3

Divisible by 10No, remainder 8

Divisible by 11No, remainder 9

Divisible by 12Yes

Divisible by 100No, remainder 68

Collatz (3n + 1) trajectory

Steps to reach 115the total stopping time

Highest value reached768

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps768 → 384 → 192 → 96 → 48 → 24 → 12 → 6 → 3 → 10 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage76,800%

768% as a decimal7.68

768% of 100768

768% of 1,0007,680

As a fraction of 100768/100

Read another way

As seconds12 minutes and 48 seconds

As bytes768 B

As a 24-bit colour#000300

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Neighbouring numbers

Derived from 768

Nearby primes

#776688 (colour)

#776688
Violet
Dark
Nearest: Slate grey

#776688 is a violet with RGB values 119, 102, 136 and HSL 270°, 14%, 47%. It is a dark colour, so white text on it reaches 5.2:1 contrast (AA for normal text). The nearest named colour is Slate grey.

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Colour values

#776688#776688

HEX#776688

HEX (short)#768

RGBrgb(119, 102, 136)

RGB (0–1)0.4667, 0.4, 0.5333

RGB percentages46.7%, 40%, 53.3%

HSLhsl(270, 14.3%, 46.7%)

HSV / HSBhsv(270, 25%, 53.3%)

CMYK12.5%, 25%, 0%, 46.7%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer7,825,032

CSS custom property--colour: #776688;

Brightness & contrast

Relative luminance0.15202WCAG 2.x, 0 is black and 1 is white

Perceived brightness111.6 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 5.2:1

Contrast with white5.2:1WCAG normal text: AA

Contrast with black4.04:1WCAG normal text: Fail

Greyscale equivalent#6C6C6C

Inverted#889977

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#606C89no red cones; affects about 1% of men; ΔE 11.2 from the original

Deuteranopia#636D87no green cones; the most common form, about 1% of men; ΔE 11.3 from the original

Tritanopia#756A72no blue cones; rare, and affects men and women equally; ΔE 15.5 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text5.2:1WCAG large text: AAA

Contrast with black, large text4.04:1WCAG large text: AA

Named colours

Slate grey · ΔE 18.3 Light slate grey · ΔE 19.6 Dim grey · ΔE 21.4 Gray · ΔE 22.7 Steel blue · ΔE 24.8 Rosy brown · ΔE 29.1

Nearest named CSS colourSlate grey (#708090)ΔE 18.26, a distinctly different colour

Hue familyviolet

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#778866

Analogous#666688, #886688

Triadic#887766, #668877

Split complementary#888866, #668866

Tetradic#886666, #778866, #668888

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#DDD8E2

Lighter +30%#C3BBCC

Lighter +20%#AA9EB6

Lighter +10%#9181A0

Darker −10%#5E506B

Darker −20%#443A4E

Darker −30%#2A2431

Darker −40%#110F13

More saturated +25%#7748A6

Less saturated −25%#777777

Channel breakdown

R119

G102

B136

Red119 (46.7%)

Green102 (40%)

Blue136 (53.3%)

Hue270°

Saturation (HSL)14.29%

Lightness46.67%

Dominant channelBlue

Hex per channelR 77 · G 66 · B 88

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768

Number properties

Factors & divisors

Arithmetic

Representations

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 768

Nearby primes

Other readings

#776688 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

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