79566464 has 32 divisors (see below), whose sum is σ = 159943140. Its totient is φ = 39424000.

The previous prime is 79566457. The next prime is 79566467. The reversal of 79566464 is 46466597.

It can be written as a sum of positive squares in 2 ways, for example, as 79566400 + 64 = 8920^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (79566467) by changing a digit.

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, 11714 + ... + 17214.

Almost surely, 2^79566464 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 79566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79971570).

79566464 is an abundant number, since it is smaller than the sum of its proper divisors (80376676).

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

79566464 is a wasteful number, since it uses less digits than its factorization.

79566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5616 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The square root of 79566464 is about 8920.0035874432. The cubic root of 79566464 is about 430.1071735742.

It can be divided in two parts, 795664 and 64, that multiplied together give a square (50922496 = 7136²).

The spelling of 79566464 in words is "seventy-nine million, five hundred sixty-six thousand, four hundred sixty-four".