79629056 has 72 divisors (see below), whose sum is σ = 174099744. Its totient is φ = 36126720.

The previous prime is 79629029. The next prime is 79629089. The reversal of 79629056 is 65092697.

It is a super-2 number, since 2×79629056² = 12681573118902272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79628998 and 79629016.

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 7 ways as a sum of consecutive naturals, for example, 236120 + ... + 236456.

It is an arithmetic number, because the mean of its divisors is an integer number (2418052).

Almost surely, 2^79629056 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 79629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87049872).

79629056 is an abundant number, since it is smaller than the sum of its proper divisors (94470688).

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

79629056 is a wasteful number, since it uses less digits than its factorization.

79629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 79629056 is about 8923.5114164773. The cubic root of 79629056 is about 430.2199271583.

The spelling of 79629056 in words is "seventy-nine million, six hundred twenty-nine thousand, fifty-six".