79317120 has 128 divisors (see below), whose sum is σ = 255816000. Its totient is φ = 20901888.

The previous prime is 79317113. The next prime is 79317137. The reversal of 79317120 is 2171397.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209091 + ... + 209469.

Almost surely, 2^79317120 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 79317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127908000).

79317120 is an abundant number, since it is smaller than the sum of its proper divisors (176498880).

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

79317120 is a wasteful number, since it uses less digits than its factorization.

79317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 79317120 is about 8906.0159442929. The cubic root of 79317120 is about 429.6574159742.

It can be divided in two parts, 7931 and 7120, that added together give a palindrome (15051).

The spelling of 79317120 in words is "seventy-nine million, three hundred seventeen thousand, one hundred twenty".