79740960 has 144 divisors (see below), whose sum is σ = 272268864. Its totient is φ = 19608576.

The previous prime is 79740953. The next prime is 79740961. The reversal of 79740960 is 6904797.

It is not an unprimeable number, because it can be changed into a prime (79740961) 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, 80629 + ... + 81611.

It is an arithmetic number, because the mean of its divisors is an integer number (1890756).

Almost surely, 2^79740960 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 79740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136134432).

79740960 is an abundant number, since it is smaller than the sum of its proper divisors (192527904).

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

79740960 is a wasteful number, since it uses less digits than its factorization.

79740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 79740960 is about 8929.7793925718. The cubic root of 79740960 is about 430.4213645001.

The spelling of 79740960 in words is "seventy-nine million, seven hundred forty thousand, nine hundred sixty".