88792 has 16 divisors (see below), whose sum is σ = 181800. Its totient is φ = 40320.

The previous prime is 88789. The next prime is 88793. The reversal of 88792 is 29788.

It is a happy number.

88792 is a modest number, since divided by 792 gives 88 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417 + ... + 592.

2⁸⁸⁷⁹² is an apocalyptic number.

It is an amenable number.

88792 is an abundant number, since it is smaller than the sum of its proper divisors (93008).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90900).

88792 is a wasteful number, since it uses less digits than its factorization.

88792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 88792 is about 297.9798650916. The cubic root of 88792 is about 44.6126422901.

It can be divided in two parts, 887 and 92, that added together give a palindrome (979).

The spelling of 88792 in words is "eighty-eight thousand, seven hundred ninety-two".