79627392 has 144 divisors (see below), whose sum is σ = 248724450. Its totient is φ = 24440832.

The previous prime is 79627381. The next prime is 79627393. The reversal of 79627392 is 29372697.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 58614336 + 21013056 = 7656^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (79627393) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194484 + ... + 194892.

Almost surely, 2^79627392 is an apocalyptic number.

79627392 is a gapful number since it is divisible by the number (72) 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 79627392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124362225).

79627392 is an abundant number, since it is smaller than the sum of its proper divisors (169097058).

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

79627392 is a wasteful number, since it uses less digits than its factorization.

79627392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 427 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 79627392 is about 8923.4181791509. The cubic root of 79627392 is about 430.2169303839.

The spelling of 79627392 in words is "seventy-nine million, six hundred twenty-seven thousand, three hundred ninety-two".