882399504 has 80 divisors (see below), whose sum is σ = 2611955840. Its totient is φ = 251458560.

The previous prime is 882399493. The next prime is 882399521. The reversal of 882399504 is 405993288.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134214 + ... + 140634.

It is an arithmetic number, because the mean of its divisors is an integer number (32649448).

Almost surely, 2^882399504 is an apocalyptic number.

882399504 is a gapful number since it is divisible by the number (84) 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 882399504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305977920).

882399504 is an abundant number, since it is smaller than the sum of its proper divisors (1729556336).

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

882399504 is a wasteful number, since it uses less digits than its factorization.

882399504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 882399504 is about 29705.2100480707. The cubic root of 882399504 is about 959.1541681722.

The spelling of 882399504 in words is "eight hundred eighty-two million, three hundred ninety-nine thousand, five hundred four".