79976160 has 432 divisors, whose sum is σ = 329395248. Its totient is φ = 18247680.

The previous prime is 79976137. The next prime is 79976167. The reversal of 79976160 is 6167997.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79976167) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4704472 + ... + 4704488.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 2^79976160 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 79976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

79976160 is an abundant number, since it is smaller than the sum of its proper divisors (249419088).

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

79976160 is a wasteful number, since it uses less digits than its factorization.

79976160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 79976160 is about 8942.9391141839. The cubic root of 79976160 is about 430.8441323182.

The spelling of 79976160 in words is "seventy-nine million, nine hundred seventy-six thousand, one hundred sixty".