79669600 has 72 divisors (see below), whose sum is σ = 198268560. Its totient is φ = 31249920.

The previous prime is 79669561. The next prime is 79669607. The reversal of 79669600 is 696697.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79669607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41461 + ... + 43339.

It is an arithmetic number, because the mean of its divisors is an integer number (2753730).

Almost surely, 2^79669600 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 79669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99134280).

79669600 is an abundant number, since it is smaller than the sum of its proper divisors (118598960).

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

79669600 is a wasteful number, since it uses less digits than its factorization.

79669600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 79669600 is about 8925.7828788292. The cubic root of 79669600 is about 430.2929318211.

The spelling of 79669600 in words is "seventy-nine million, six hundred sixty-nine thousand, six hundred".