76064560 has 160 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 24883200.

The previous prime is 76064557. The next prime is 76064567. The reversal of 76064560 is 6546067.

It is not an unprimeable number, because it can be changed into a prime (76064567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697786 + ... + 697894.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 2^76064560 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 76064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

76064560 is an abundant number, since it is smaller than the sum of its proper divisors (137046800).

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

76064560 is a wasteful number, since it uses less digits than its factorization.

76064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 76064560 is about 8721.4998710084. The cubic root of 76064560 is about 423.7022651682.

The spelling of 76064560 in words is "seventy-six million, sixty-four thousand, five hundred sixty".