876514560 has 288 divisors, whose sum is σ = 3072867840. Its totient is φ = 211943424.

The previous prime is 876514511. The next prime is 876514579. The reversal of 876514560 is 65415678.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892889 + ... + 1893351.

It is an arithmetic number, because the mean of its divisors is an integer number (10669680).

Almost surely, 2^876514560 is an apocalyptic number.

876514560 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 876514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536433920).

876514560 is an abundant number, since it is smaller than the sum of its proper divisors (2196353280).

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

876514560 is a wasteful number, since it uses less digits than its factorization.

876514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 876514560 is about 29605.9885833931. The cubic root of 876514560 is about 957.0171302465.

The spelling of 876514560 in words is "eight hundred seventy-six million, five hundred fourteen thousand, five hundred sixty".