882400000 has 108 divisors (see below), whose sum is σ = 2203546464. Its totient is φ = 352640000.

The previous prime is 882399997. The next prime is 882400049. The reversal of 882400000 is 4288.

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 11 ways as a sum of consecutive naturals, for example, 799449 + ... + 800551.

It is an arithmetic number, because the mean of its divisors is an integer number (20403208).

Almost surely, 2^882400000 is an apocalyptic number.

882400000 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 882400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101773232).

882400000 is an abundant number, since it is smaller than the sum of its proper divisors (1321146464).

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

882400000 is an frugal number, since it uses more digits than its factorization.

882400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 882400000 is about 29705.2183967733. The cubic root of 882400000 is about 959.1543478868.

Adding to 882400000 its reverse (4288), we get a palindrome (882404288).

The spelling of 882400000 in words is "eight hundred eighty-two million, four hundred thousand".