882400 has 36 divisors (see below), whose sum is σ = 2156112. Its totient is φ = 352640.

The previous prime is 882391. The next prime is 882433. The reversal of 882400 is 4288.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 249 + ... + 1351.

It is an arithmetic number, because the mean of its divisors is an integer number (59892).

2⁸⁸²⁴⁰⁰ is an apocalyptic number.

882400 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 882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078056).

882400 is an abundant number, since it is smaller than the sum of its proper divisors (1273712).

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

882400 is a wasteful number, since it uses less digits than its factorization.

882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1110 counting only the distinct ones).

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

The square root of 882400 is about 939.3614852654. The cubic root of 882400 is about 95.9154347887.

Adding to 882400 its reverse (4288), we get a palindrome (886688).

The spelling of 882400 in words is "eight hundred eighty-two thousand, four hundred".