76536064 has 36 divisors (see below), whose sum is σ = 166667760. Its totient is φ = 34787840.

The previous prime is 76536059. The next prime is 76536077. The reversal of 76536064 is 46063567.

It is a super-2 number, since 2×76536064² = 11715538185224192, which contains 22 as substring.

It is a zygodrome in base 6.

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 3 ways as a sum of consecutive naturals, for example, 10774 + ... + 16405.

It is an arithmetic number, because the mean of its divisors is an integer number (4629660).

Almost surely, 2^76536064 is an apocalyptic number.

It is an amenable number.

76536064 is an abundant number, since it is smaller than the sum of its proper divisors (90131696).

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

76536064 is a wasteful number, since it uses less digits than its factorization.

76536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27206 (or 27192 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 76536064 is about 8748.4892410061. The cubic root of 76536064 is about 424.5759350249.

The spelling of 76536064 in words is "seventy-six million, five hundred thirty-six thousand, sixty-four".