79539408 has 100 divisors (see below), whose sum is σ = 247971108. Its totient is φ = 24468480.

The previous prime is 79539407. The next prime is 79539433. The reversal of 79539408 is 80493597.

79539408 is a `hidden beast` number, since 79 + 539 + 40 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 53406864 = 5112^2 + 7308^2 .

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79539403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14488 + ... + 19208.

Almost surely, 2^79539408 is an apocalyptic number.

79539408 is a gapful number since it is divisible by the number (78) 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 79539408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123985554).

79539408 is an abundant number, since it is smaller than the sum of its proper divisors (168431700).

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

79539408 is a wasteful number, since it uses less digits than its factorization.

79539408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 79539408 is about 8918.4868671765. The cubic root of 79539408 is about 430.0584164372.

The spelling of 79539408 in words is "seventy-nine million, five hundred thirty-nine thousand, four hundred eight".