79117952 has 64 divisors (see below), whose sum is σ = 165027840. Its totient is φ = 37739520.

The previous prime is 79117943. The next prime is 79117963. The reversal of 79117952 is 25971197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 503858 + ... + 504014.

It is an arithmetic number, because the mean of its divisors is an integer number (2578560).

Almost surely, 2^79117952 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 79117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82513920).

79117952 is an abundant number, since it is smaller than the sum of its proper divisors (85909888).

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

79117952 is a wasteful number, since it uses less digits than its factorization.

79117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 39690, while the sum is 41.

The square root of 79117952 is about 8894.8272608297. The cubic root of 79117952 is about 429.2974863872.

The spelling of 79117952 in words is "seventy-nine million, one hundred seventeen thousand, nine hundred fifty-two".