88079680 has 112 divisors (see below), whose sum is σ = 233501184. Its totient is φ = 31426560.

The previous prime is 88079671. The next prime is 88079701. The reversal of 88079680 is 8697088.

It is a self number, because there is not a number n which added to its sum of digits gives 88079680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128619 + ... + 129301.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^88079680 is an apocalyptic number.

88079680 is a gapful number since it is divisible by the number (80) 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 88079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

88079680 is an abundant number, since it is smaller than the sum of its proper divisors (145421504).

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

88079680 is a wasteful number, since it uses less digits than its factorization.

88079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 88079680 is about 9385.0775169947. The cubic root of 88079680 is about 444.9302251414.

The spelling of 88079680 in words is "eighty-eight million, seventy-nine thousand, six hundred eighty".