79928000 has 112 divisors (see below), whose sum is σ = 201923904. Its totient is φ = 31334400.

The previous prime is 79927997. The next prime is 79928047. The reversal of 79928000 is 82997.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 775949 + ... + 776051.

It is an arithmetic number, because the mean of its divisors is an integer number (1802892).

Almost surely, 2^79928000 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 79928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100961952).

79928000 is an abundant number, since it is smaller than the sum of its proper divisors (121995904).

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

79928000 is a wasteful number, since it uses less digits than its factorization.

79928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 79928000 is about 8940.2460816244. The cubic root of 79928000 is about 430.7576331257.

The spelling of 79928000 in words is "seventy-nine million, nine hundred twenty-eight thousand".