76133564 has 48 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 33808320.

The previous prime is 76133549. The next prime is 76133567. The reversal of 76133564 is 46533167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76133567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176429 + ... + 176859.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^76133564 is an apocalyptic number.

It is an amenable number.

76133564 is a deficient number, since it is larger than the sum of its proper divisors (72889156).

76133564 is a wasteful number, since it uses less digits than its factorization.

76133564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its digits is 45360, while the sum is 35.

The square root of 76133564 is about 8725.4549451590. The cubic root of 76133564 is about 423.8303507246.

The spelling of 76133564 in words is "seventy-six million, one hundred thirty-three thousand, five hundred sixty-four".