76000560 has 80 divisors (see below), whose sum is σ = 237219936. Its totient is φ = 20127744.

The previous prime is 76000559. The next prime is 76000597. The reversal of 76000560 is 6500067.

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 self number, because there is not a number n which added to its sum of digits gives 76000560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36672 + ... + 38688.

Almost surely, 2^76000560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118609968).

76000560 is an abundant number, since it is smaller than the sum of its proper divisors (161219376).

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

76000560 is a wasteful number, since it uses less digits than its factorization.

76000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 76000560 is about 8717.8300052249. The cubic root of 76000560 is about 423.5833988007.

The spelling of 76000560 in words is "seventy-six million, five hundred sixty", and thus it is an aban number.