Number

788

788 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Year

Historical context — 788 AD

Calendar year

Year 788 (DCCLXXXVIII) was a leap year starting on Tuesday of the Julian calendar, the 788th year of the Common Era (CE) and Anno Domini (AD) designations, the 788th year of the 1st millennium, the 88th year of the 8th century, and the 9th year of the 780s decade.

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Historical context — 788 BC

Decade

This article concerns the period 789 BC – 780 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Friday
January 1, 788
Ended on: Saturday
December 31, 788
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 780s
780–789
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,238
1238 years before 2026.

In other calendars

Hebrew: 4548 / 4549 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 171 / 172 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1331 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 166 / 167 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 780 / 781 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 710 / 709 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 23
Digit product: 448
Digital root: 5
Palindrome: No
Bit width: 10 bits
Reversed: 887
Recamán's sequence: a(16,759) = 788
Square (n²): 620,944
Cube (n³): 489,303,872
Divisor count: 6
σ(n) — sum of divisors: 1,386
φ(n) — Euler's totient: 392
Sum of prime factors: 201

Primality

Prime factorization: 2 ² × 197

Nearest primes: 787 (−1) · 797 (+9)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 197 · 394 (half) · 788

Aliquot sum (sum of proper divisors): 598

Factor pairs (a × b = 788)

1 × 788

2 × 394

4 × 197

First multiples

788 · 1,576 (double) · 2,364 · 3,152 · 3,940 · 4,728 · 5,516 · 6,304 · 7,092 · 7,880

Sums & aliquot sequence

As a sum of two squares: 2² + 28²

As consecutive integers: 95 + 96 + … + 102

Aliquot sequence: 788 → 598 → 410 → 346 → 176 → 196 → 203 → 37 → 1 → 0 — terminates at zero

Representations

In words: seven hundred eighty-eight
Ordinal: 788th
Roman numeral: DCCLXXXVIII
Binary: 1100010100
Octal: 1424
Hexadecimal: 0x314
Base64: AxQ=
One's complement: 64,747 (16-bit)

In other bases

ternary (3) 1002012

quaternary (4) 30110

quinary (5) 11123

senary (6) 3352

septenary (7) 2204

nonary (9) 1065

undecimal (11) 657

duodecimal (12) 558

tridecimal (13) 488

tetradecimal (14) 404

pentadecimal (15) 378

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψπηʹ
Mayan (base 20): 𝋡·𝋳·𝋨
Chinese: 七百八十八
Chinese (financial): 柒佰捌拾捌

In other modern scripts

Eastern Arabic ٧٨٨ Devanagari ७८८ Bengali ৭৮৮ Tamil ௭௮௮ Thai ๗๘๘ Tibetan ༧༨༨ Khmer ៧៨៨ Lao ໗໘໘ Burmese ၇၈၈

Digit at this position in famous constants

π — Pi (π): Digit 788 = 7
e — Euler's number (e): Digit 788 = 4
φ — Golden ratio (φ): Digit 788 = 2
√2 — Pythagoras's (√2): Digit 788 = 8
ln 2 — Natural log of 2: Digit 788 = 0
γ — Euler-Mascheroni (γ): Digit 788 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 788, here are decompositions:

19 + 769 = 788
31 + 757 = 788
37 + 751 = 788
61 + 727 = 788
79 + 709 = 788
97 + 691 = 788
127 + 661 = 788
157 + 631 = 788

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Reversed Comma Above

U+0314

Non-spacing mark (Mn)

UTF-8 encoding: CC 94 (2 bytes).

Lookup U+0314 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000314

RGB(0, 3, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.20.

Address: 0.0.3.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.20

Unspecified address (0.0.0.0/8) — "this network" placeholder.