8792 has 16 divisors (see below), whose sum is σ = 18960. Its totient is φ = 3744.

The previous prime is 8783. The next prime is 8803. The reversal of 8792 is 2978.

8792 is nontrivially palindromic in base 13.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8³ + 9² + 7 + 2¹³ .

It is a plaindrome in base 16.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

8792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (1185).

2⁸⁷⁹² is an apocalyptic number.

It is an amenable number.

8792 is an abundant number, since it is smaller than the sum of its proper divisors (10168).

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 (9480).

8792 is a wasteful number, since it uses less digits than its factorization.

8792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 8792 is about 93.7656653578. The cubic root of 8792 is about 20.6393441692.

It can be divided in two parts, 8 and 792, that multiplied together give a palindrome (6336).

The spelling of 8792 in words is "eight thousand, seven hundred ninety-two".