882506400 has 72 divisors (see below), whose sum is σ = 2872566144. Its totient is φ = 235334400.

The previous prime is 882506399. The next prime is 882506407. The reversal of 882506400 is 4605288.

882506400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (882506407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181456 + ... + 186255.

It is an arithmetic number, because the mean of its divisors is an integer number (39896752).

Almost surely, 2^882506400 is an apocalyptic number.

882506400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

882506400 is an abundant number, since it is smaller than the sum of its proper divisors (1990059744).

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

882506400 is a wasteful number, since it uses less digits than its factorization.

882506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367734 (or 367721 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 882506400 is about 29707.0092739071. The cubic root of 882506400 is about 959.1928980232.

The spelling of 882506400 in words is "eight hundred eighty-two million, five hundred six thousand, four hundred".