79809968 has 80 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 31872000.

The previous prime is 79809967. The next prime is 79809971. The reversal of 79809968 is 86990897.

It is a super-2 number, since 2×79809968² = 12739261984322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (79809967) 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, 317843 + ... + 318093.

Almost surely, 2^79809968 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 79809968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

79809968 is an abundant number, since it is smaller than the sum of its proper divisors (109177936).

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

79809968 is a wasteful number, since it uses less digits than its factorization.

79809968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 56.

The square root of 79809968 is about 8933.6424822130. The cubic root of 79809968 is about 430.5454912284.

The spelling of 79809968 in words is "seventy-nine million, eight hundred nine thousand, nine hundred sixty-eight".