79090920 has 192 divisors, whose sum is σ = 280051200. Its totient is φ = 19284480.

The previous prime is 79090909. The next prime is 79090933. The reversal of 79090920 is 2909097.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211854 + ... + 212226.

It is an arithmetic number, because the mean of its divisors is an integer number (1458600).

Almost surely, 2^79090920 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 79090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140025600).

79090920 is an abundant number, since it is smaller than the sum of its proper divisors (200960280).

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

79090920 is a wasteful number, since it uses less digits than its factorization.

79090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 79090920 is about 8893.3075961647. The cubic root of 79090920 is about 429.2485885443.

The spelling of 79090920 in words is "seventy-nine million, ninety thousand, nine hundred twenty".