Number

876

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

876 (eight hundred seventy-six) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 73. Its proper divisors sum to 1,196, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCCLXXVI and in binary, 1101101100.

Abundant Number Consecutive Digits Cube-Free Descending Digits Evil Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

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6 notable facts · grade B

864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888

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Historical context — 876 AD

Calendar year

Year 876 (DCCCLXXVI) was a leap year starting on Sunday of the Julian calendar.

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

Historical context — 876 BC

Decade

This article concerns the period 879 BC – 870 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 876
Ended on: Thursday
December 31, 876
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 870s
870–879
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,150
1150 years before 2026.

In other calendars

Hebrew: 4636 / 4637 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 262 / 263 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1419 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 254 / 255 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 868 / 869 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 798 / 797 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 21
Digit product: 336
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 678
Recamán's sequence: a(779) = 876
Square (n²): 767,376
Cube (n³): 672,221,376
Divisor count: 12
σ(n) — sum of divisors: 2,072
φ(n) — Euler's totient: 288
Sum of prime factors: 80

Primality

Prime factorization: 2 ² × 3 × 73

Nearest primes: 863 (−13) · 877 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 73 · 146 · 219 · 292 · 438 (half) · 876

Aliquot sum (sum of proper divisors): 1,196

Factor pairs (a × b = 876)

1 × 876

2 × 438

3 × 292

4 × 219

6 × 146

12 × 73

First multiples

876 · 1,752 (double) · 2,628 · 3,504 · 4,380 · 5,256 · 6,132 · 7,008 · 7,884 · 8,760

Sums & aliquot sequence

As consecutive integers: 291 + 292 + 293 106 + 107 + … + 113 25 + 26 + … + 48

Aliquot sequence: 876 → 1,196 → 1,156 → 993 → 335 → 73 → 1 → 0 — terminates at zero

Continued fraction of √n

√876 = [29; (1, 1, 2, 14, 2, 1, 1, 58)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: eight hundred seventy-six
Ordinal: 876th
Roman numeral: DCCCLXXVI
Binary: 1101101100
Octal: 1554
Hexadecimal: 0x36C
Base64: A2w=
One's complement: 64,659 (16-bit)
Scientific notation: 8.76 × 10²
As a duration: 876 s = 14 minutes, 36 seconds

In other bases

ternary (3) 1012110

quaternary (4) 31230

quinary (5) 12001

senary (6) 4020

septenary (7) 2361

nonary (9) 1173

undecimal (11) 727

duodecimal (12) 610

tridecimal (13) 525

tetradecimal (14) 468

pentadecimal (15) 3d6

Palindromic in base 11, base 13

As an angle

876° = 2 × 360° + 156°

156° ≈ 2.723 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ωοϛʹ
Mayan (base 20): 𝋢·𝋣·𝋰
Chinese: 八百七十六
Chinese (financial): 捌佰柒拾陸

In other modern scripts

Eastern Arabic ٨٧٦ Devanagari ८७६ Bengali ৮৭৬ Tamil ௮௭௬ Thai ๘๗๖ Tibetan ༨༧༦ Khmer ៨៧៦ Lao ໘໗໖ Burmese ၈၇၆

Digit at this position in famous constants

π — Pi (π): Digit 876 = 3
e — Euler's number (e): Digit 876 = 4
φ — Golden ratio (φ): Digit 876 = 2
√2 — Pythagoras's (√2): Digit 876 = 8
ln 2 — Natural log of 2: Digit 876 = 8
γ — Euler-Mascheroni (γ): Digit 876 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 876, here are decompositions:

13 + 863 = 876
17 + 859 = 876
19 + 857 = 876
23 + 853 = 876
37 + 839 = 876
47 + 829 = 876
53 + 823 = 876
67 + 809 = 876

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Latin Small Letter R

U+036C

Non-spacing mark (Mn)

UTF-8 encoding: CD AC (2 bytes).

Lookup U+036C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00036C

RGB(0, 3, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.108.

Address: 0.0.3.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.108

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

NANP area code 876

The number 876 is an active NANP area code (North American Numbering Plan).

Primary area: Statewide
Region: Jamaica
Country: Jamaica

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 876 ↗

Musical pitch

Heard as a frequency, 876 Hz is closest to:

Concert pitch (A4 = 440 Hz): A5 (880 Hz, -8¢)
Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, +30¢)
Baroque pitch (A4 = 415 Hz): A♯5 (879.4 Hz, -7¢)