79261920 has 144 divisors (see below), whose sum is σ = 284815440. Its totient is φ = 20017152.

The previous prime is 79261909. The next prime is 79261927. The reversal of 79261920 is 2916297.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79261927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25912 + ... + 28808.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^79261920 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 79261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

79261920 is an abundant number, since it is smaller than the sum of its proper divisors (205553520).

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

79261920 is a wasteful number, since it uses less digits than its factorization.

79261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 79261920 is about 8902.9163761096. The cubic root of 79261920 is about 429.5577208374.

The spelling of 79261920 in words is "seventy-nine million, two hundred sixty-one thousand, nine hundred twenty".