79538688 has 120 divisors (see below), whose sum is σ = 235711476. Its totient is φ = 25804800.

The previous prime is 79538681. The next prime is 79538689. The reversal of 79538688 is 88683597.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 28387584 = 7152^2 + 5328^2 .

It is a super-2 number, since 2×79538688² = 12652805777522688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79538681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188718 + ... + 189138.

Almost surely, 2^79538688 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 79538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117855738).

79538688 is an abundant number, since it is smaller than the sum of its proper divisors (156172788).

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

79538688 is a wasteful number, since it uses less digits than its factorization.

79538688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 79538688 is about 8918.4465014934. The cubic root of 79538688 is about 430.0571187869.

It can be divided in two parts, 7953 and 8688, that added together give a square (16641 = 129²).

The spelling of 79538688 in words is "seventy-nine million, five hundred thirty-eight thousand, six hundred eighty-eight".