79891120 has 40 divisors (see below), whose sum is σ = 188112960. Its totient is φ = 31549440.

The previous prime is 79891111. The next prime is 79891171. The reversal of 79891120 is 2119897.

79891120 is a nontrivial binomial coefficient, being equal to C(12641, 2).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 79891120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 12640.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2^79891120 is an apocalyptic number.

79891120 is the 12640-th triangular number.

79891120 is the 4214-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79891120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94056480).

79891120 is an abundant number, since it is smaller than the sum of its proper divisors (108221840).

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

79891120 is a wasteful number, since it uses less digits than its factorization.

79891120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733 (or 12727 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 79891120 is about 8938.1832605961. The cubic root of 79891120 is about 430.6913702161.

The spelling of 79891120 in words is "seventy-nine million, eight hundred ninety-one thousand, one hundred twenty".