79521120 has 360 divisors, whose sum is σ = 330338736. Its totient is φ = 17385984.

The previous prime is 79521119. The next prime is 79521157. The reversal of 79521120 is 2112597.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 3457429 + ... + 3457451.

Almost surely, 2^79521120 is an apocalyptic number.

79521120 is a gapful number since it is divisible by the number (70) 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 79521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165169368).

79521120 is an abundant number, since it is smaller than the sum of its proper divisors (250817616).

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

79521120 is a wasteful number, since it uses less digits than its factorization.

79521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 79521120 is about 8917.4615222046. The cubic root of 79521120 is about 430.0254536943.

The spelling of 79521120 in words is "seventy-nine million, five hundred twenty-one thousand, one hundred twenty".