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80976960 = 2632531907
BaseRepresentation
bin1001101001110…
…01110001000000
312122101001111200
410310321301000
5131212230320
612011341200
72002202301
oct464716100
9178331450
1080976960
1141789209
1223151800
1313a12c7c
14aa7c7a8
157198290
hex4d39c40

80976960 has 168 divisors, whose sum is σ = 287828736. Its totient is φ = 20874240.

The previous prime is 80976949. The next prime is 80976977. The reversal of 80976960 is 6967908.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88827 + ... + 89733.

Almost surely, 280976960 is an apocalyptic number.

80976960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143914368).

80976960 is an abundant number, since it is smaller than the sum of its proper divisors (206851776).

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

80976960 is a wasteful number, since it uses less digits than its factorization.

80976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 80976960 is about 8998.7199089648. The cubic root of 80976960 is about 432.6338432141.

The spelling of 80976960 in words is "eighty million, nine hundred seventy-six thousand, nine hundred sixty".