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880000080 = 24358294423
BaseRepresentation
bin110100011100111…
…011110001010000
32021022212122011120
4310130323301100
53300240000310
6223153242240
730543606621
oct6434736120
92238778146
10880000080
114118120a3
12206863380
1311041330b
1484c31a48
15523cab70
hex3473bc50

880000080 has 80 divisors (see below), whose sum is σ = 2731908480. Its totient is φ = 234330624.

The previous prime is 880000027. The next prime is 880000081. The reversal of 880000080 is 80000088.

It is a happy number.

880000080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 880000080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880000081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196749 + ... + 201171.

It is an arithmetic number, because the mean of its divisors is an integer number (34148856).

Almost surely, 2880000080 is an apocalyptic number.

880000080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

880000080 is an abundant number, since it is smaller than the sum of its proper divisors (1851908400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

880000080 is a wasteful number, since it uses less digits than its factorization.

880000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 880000080 is about 29664.7952967823. The cubic root of 880000080 is about 958.2840004515.

The spelling of 880000080 in words is "eight hundred eighty million, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 829 1658 2487 3316 4145 4423 4974 6632 8290 8846 9948 12435 13264 13269 16580 17692 19896 22115 24870 26538 33160 35384 39792 44230 49740 53076 66320 66345 70768 88460 99480 106152 132690 176920 198960 212304 265380 353840 530760 1061520 3666667 7333334 11000001 14666668 18333335 22000002 29333336 36666670 44000004 55000005 58666672 73333340 88000008 110000010 146666680 176000016 220000020 293333360 440000040 880000080