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Number

880

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

Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 880 AD

Calendar year

Year 880 (DCCCLXXX) was a leap year starting on Friday of the Julian calendar.

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Historical context — 880 BC

Decade

This article concerns the period 889 BC – 880 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
Monday
January 1, 880
Ended on
Tuesday
December 31, 880
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
880s
880–889
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,146
1146 years before 2026.

In other calendars

Hebrew
4640 / 4641 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
266 / 267 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1423 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
258 / 259 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
872 / 873 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
802 / 801 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
10 bits
Reversed
88
Flips to (rotate 180°)
88
Recamán's sequence
a(767) = 880
Square (n²)
774,400
Cube (n³)
681,472,000
Divisor count
20
σ(n) — sum of divisors
2,232
φ(n) — Euler's totient
320
Sum of prime factors
24

Primality

Prime factorization: 2 4 × 5 × 11

Nearest primes: 877 (−3) · 881 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 110 · 176 · 220 · 440 (half) · 880
Aliquot sum (sum of proper divisors): 1,352
Factor pairs (a × b = 880)
1 × 880
2 × 440
4 × 220
5 × 176
8 × 110
10 × 88
11 × 80
16 × 55
20 × 44
22 × 40
First multiples
880 · 1,760 (double) · 2,640 · 3,520 · 4,400 · 5,280 · 6,160 · 7,040 · 7,920 · 8,800

Sums & aliquot sequence

As consecutive integers: 174 + 175 + 176 + 177 + 178 75 + 76 + … + 85 12 + 13 + … + 43
Aliquot sequence: 880 1,352 1,393 207 105 87 33 15 9 4 3 1 0 — terminates at zero

Representations

In words
eight hundred eighty
Ordinal
880th
Roman numeral
DCCCLXXX
Binary
1101110000
Octal
1560
Hexadecimal
0x370
Base64
A3A=
One's complement
64,655 (16-bit)
In other bases
ternary (3) 1012121
quaternary (4) 31300
quinary (5) 12010
senary (6) 4024
septenary (7) 2365
nonary (9) 1177
undecimal (11) 730
duodecimal (12) 614
tridecimal (13) 529
tetradecimal (14) 46c
pentadecimal (15) 3da

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
ωπʹ
Mayan (base 20)
𝋢·𝋤·𝋠
Chinese
八百八十
Chinese (financial)
捌佰捌拾
In other modern scripts
Eastern Arabic ٨٨٠ Devanagari ८८० Bengali ৮৮০ Tamil ௮௮௦ Thai ๘๘๐ Tibetan ༨༨༠ Khmer ៨៨០ Lao ໘໘໐ Burmese ၈၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 880 = 8
e — Euler's number (e)
Digit 880 = 3
φ — Golden ratio (φ)
Digit 880 = 1
√2 — Pythagoras's (√2)
Digit 880 = 5
ln 2 — Natural log of 2
Digit 880 = 3
γ — Euler-Mascheroni (γ)
Digit 880 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 880, here are decompositions:

  • 3 + 877 = 880
  • 17 + 863 = 880
  • 23 + 857 = 880
  • 41 + 839 = 880
  • 53 + 827 = 880
  • 59 + 821 = 880
  • 71 + 809 = 880
  • 83 + 797 = 880

Showing the first eight; more decompositions exist.

Unicode codepoint
Ͱ
Greek Capital Letter Heta
U+0370
Uppercase letter (Lu)

UTF-8 encoding: CD B0 (2 bytes).

Hex color
#000370
RGB(0, 3, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.112.

Address
0.0.3.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.112

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000880
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.