79920456 has 128 divisors (see below), whose sum is σ = 253670400. Its totient is φ = 20378880.

The previous prime is 79920443. The next prime is 79920497. The reversal of 79920456 is 65402997.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 108666 + ... + 109398.

It is an arithmetic number, because the mean of its divisors is an integer number (1981800).

Almost surely, 2^79920456 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 79920456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126835200).

79920456 is an abundant number, since it is smaller than the sum of its proper divisors (173749944).

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

79920456 is a wasteful number, since it uses less digits than its factorization.

79920456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 79920456 is about 8939.8241593445. The cubic root of 79920456 is about 430.7440803540.

The spelling of 79920456 in words is "seventy-nine million, nine hundred twenty thousand, four hundred fifty-six".