79951968 has 192 divisors, whose sum is σ = 249359040. Its totient is φ = 24883200.

The previous prime is 79951939. The next prime is 79951973. The reversal of 79951968 is 86915997.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1224720) is a multiple of the sum of its prime divisors (144).

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, 1310658 + ... + 1310718.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^79951968 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 79951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

79951968 is an abundant number, since it is smaller than the sum of its proper divisors (169407072).

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

79951968 is a wasteful number, since it uses less digits than its factorization.

79951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 79951968 is about 8941.5864364217. The cubic root of 79951968 is about 430.8006859030.

The spelling of 79951968 in words is "seventy-nine million, nine hundred fifty-one thousand, nine hundred sixty-eight".