79696960 has 112 divisors (see below), whose sum is σ = 221796864. Its totient is φ = 26707968.

The previous prime is 79696957. The next prime is 79696961. The reversal of 79696960 is 6969697.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 79696898 and 79696907.

It is not an unprimeable number, because it can be changed into a prime (79696961) 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, 104902 + ... + 105658.

Almost surely, 2^79696960 is an apocalyptic number.

79696960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110898432).

79696960 is an abundant number, since it is smaller than the sum of its proper divisors (142099904).

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

79696960 is a wasteful number, since it uses less digits than its factorization.

79696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 52.

The square root of 79696960 is about 8927.3153859377. The cubic root of 79696960 is about 430.3421830086.

It can be divided in two parts, 79696 and 960, that added together give a square (80656 = 284²).

The spelling of 79696960 in words is "seventy-nine million, six hundred ninety-six thousand, nine hundred sixty".