882165760 has 192 divisors, whose sum is σ = 2503388160. Its totient is φ = 291962880.

The previous prime is 882165743. The next prime is 882165793. The reversal of 882165760 is 67561288.

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, 2221882 + ... + 2222278.

It is an arithmetic number, because the mean of its divisors is an integer number (13038480).

Almost surely, 2^882165760 is an apocalyptic number.

882165760 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 882165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251694080).

882165760 is an abundant number, since it is smaller than the sum of its proper divisors (1621222400).

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

882165760 is a wasteful number, since it uses less digits than its factorization.

882165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 882165760 is about 29701.2753934911. The cubic root of 882165760 is about 959.0694686946.

The spelling of 882165760 in words is "eight hundred eighty-two million, one hundred sixty-five thousand, seven hundred sixty".