79800960 has 128 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 20996096.

The previous prime is 79800901. The next prime is 79800967. The reversal of 79800960 is 6900897.

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

It is not an unprimeable number, because it can be changed into a prime (79800967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170647 + ... + 171113.

Almost surely, 2^79800960 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 79800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

79800960 is an abundant number, since it is smaller than the sum of its proper divisors (177973440).

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

79800960 is a wasteful number, since it uses less digits than its factorization.

79800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 79800960 is about 8933.1383063289. The cubic root of 79800960 is about 430.5292923341.

The spelling of 79800960 in words is "seventy-nine million, eight hundred thousand, nine hundred sixty".