76479624 has 96 divisors (see below), whose sum is σ = 225552600. Its totient is φ = 23270400.

The previous prime is 76479581. The next prime is 76479653. The reversal of 76479624 is 42697467.

It can be written as a sum of positive squares in 4 ways, for example, as 76003524 + 476100 = 8718^2 + 690^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76479624.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 94132 + ... + 94940.

Almost surely, 2^76479624 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 76479624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776300).

76479624 is an abundant number, since it is smaller than the sum of its proper divisors (149072976).

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

76479624 is a wasteful number, since it uses less digits than its factorization.

76479624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 76479624 is about 8745.2629463041. The cubic root of 76479624 is about 424.4715443307.

It can be divided in two parts, 7647 and 9624, that added together give a palindrome (17271).

The spelling of 76479624 in words is "seventy-six million, four hundred seventy-nine thousand, six hundred twenty-four".