79976000 has 112 divisors (see below), whose sum is σ = 213573360. Its totient is φ = 29491200.

The previous prime is 79975979. The next prime is 79976003. The reversal of 79976000 is 67997.

It can be written as a sum of positive squares in 8 ways, for example, as 45589504 + 34386496 = 6752^2 + 5864^2 .

It is not an unprimeable number, because it can be changed into a prime (79976003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103616 + ... + 104384.

It is an arithmetic number, because the mean of its divisors is an integer number (1906905).

Almost surely, 2^79976000 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 79976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106786680).

79976000 is an abundant number, since it is smaller than the sum of its proper divisors (133597360).

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

79976000 is a wasteful number, since it uses less digits than its factorization.

79976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 38.

The square root of 79976000 is about 8942.9301685745. The cubic root of 79976000 is about 430.8438450030.

The spelling of 79976000 in words is "seventy-nine million, nine hundred seventy-six thousand".