882792 has 64 divisors (see below), whose sum is σ = 2529600. Its totient is φ = 285120.

The previous prime is 882779. The next prime is 882823. The reversal of 882792 is 297288.

882792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8 + 8² + 7⁷ + 2⁶ + 9⁵ + 2⁶ .

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 882792.

It is an unprimeable number.

882792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13143 + ... + 13209.

It is an arithmetic number, because the mean of its divisors is an integer number (39525).

2⁸⁸²⁷⁹² 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 882792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264800).

882792 is an abundant number, since it is smaller than the sum of its proper divisors (1646808).

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

882792 is a wasteful number, since it uses less digits than its factorization.

882792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 882792 is about 939.5701144672. The cubic root of 882792 is about 95.9296359386.

The spelling of 882792 in words is "eight hundred eighty-two thousand, seven hundred ninety-two".