76564890 has 48 divisors (see below), whose sum is σ = 202456800. Its totient is φ = 20069856.

The previous prime is 76564867. The next prime is 76564919. The reversal of 76564890 is 9846567.

76564890 is a `hidden beast` number, since 7 + 6 + 564 + 89 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900 + ... + 12519.

It is an arithmetic number, because the mean of its divisors is an integer number (4217850).

Almost surely, 2^76564890 is an apocalyptic number.

76564890 is an abundant number, since it is smaller than the sum of its proper divisors (125891910).

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

76564890 is a wasteful number, since it uses less digits than its factorization.

76564890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14491 (or 14488 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 76564890 is about 8750.1365703628. The cubic root of 76564890 is about 424.6292314234.

The spelling of 76564890 in words is "seventy-six million, five hundred sixty-four thousand, eight hundred ninety".