79788960 has 144 divisors (see below), whose sum is σ = 276677856. Its totient is φ = 20934144.

The previous prime is 79788949. The next prime is 79788971. The reversal of 79788960 is 6988797.

It is an interprime number because it is at equal distance from previous prime (79788949) and next prime (79788971).

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

It is a junction number, because it is equal to n+sod(n) for n = 79788897 and 79788906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96067 + ... + 96893.

It is an arithmetic number, because the mean of its divisors is an integer number (1921374).

Almost surely, 2^79788960 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 79788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138338928).

79788960 is an abundant number, since it is smaller than the sum of its proper divisors (196888896).

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

79788960 is a wasteful number, since it uses less digits than its factorization.

79788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 79788960 is about 8932.4666246228. The cubic root of 79788960 is about 430.5077110963.

The spelling of 79788960 in words is "seventy-nine million, seven hundred eighty-eight thousand, nine hundred sixty".