79679952 has 180 divisors, whose sum is σ = 260491140. Its totient is φ = 22640640.

The previous prime is 79679947. The next prime is 79679959. The reversal of 79679952 is 25997697.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 48944016 = 5544^2 + 6996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79679959) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296074 + ... + 296342.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173).

Almost surely, 2^79679952 is an apocalyptic number.

79679952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79679952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130245570).

79679952 is an abundant number, since it is smaller than the sum of its proper divisors (180811188).

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

79679952 is a wasteful number, since it uses less digits than its factorization.

79679952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The square root of 79679952 is about 8926.3627531039. The cubic root of 79679952 is about 430.3115679530.

The spelling of 79679952 in words is "seventy-nine million, six hundred seventy-nine thousand, nine hundred fifty-two".