79772160 has 320 divisors, whose sum is σ = 296980992. Its totient is φ = 18087936.

The previous prime is 79772159. The next prime is 79772179. The reversal of 79772160 is 6127797.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×79772160² = 12727195022131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697257 + ... + 1697303.

Almost surely, 2^79772160 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 79772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

79772160 is an abundant number, since it is smaller than the sum of its proper divisors (217208832).

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

79772160 is a wasteful number, since it uses less digits than its factorization.

79772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The square root of 79772160 is about 8931.5261853728. The cubic root of 79772160 is about 430.4774937278.

The spelling of 79772160 in words is "seventy-nine million, seven hundred seventy-two thousand, one hundred sixty".