79093920 has 96 divisors (see below), whose sum is σ = 255286080. Its totient is φ = 20572160.

The previous prime is 79093907. The next prime is 79093939. The reversal of 79093920 is 2939097.

It is a tau number, because it is divible by the number of its divisors (96).

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, 17671 + ... + 21689.

It is an arithmetic number, because the mean of its divisors is an integer number (2659230).

Almost surely, 2^79093920 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 79093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127643040).

79093920 is an abundant number, since it is smaller than the sum of its proper divisors (176192160).

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

79093920 is a wasteful number, since it uses less digits than its factorization.

79093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 79093920 is about 8893.4762607206. The cubic root of 79093920 is about 429.2540157559.

The spelling of 79093920 in words is "seventy-nine million, ninety-three thousand, nine hundred twenty".