882200 has 48 divisors (see below), whose sum is σ = 2243160. Its totient is φ = 320000.

The previous prime is 882199. The next prime is 882239. The reversal of 882200 is 2288.

882200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2000 + ... + 2400.

2⁸⁸²²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121580).

882200 is an abundant number, since it is smaller than the sum of its proper divisors (1360960).

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

882200 is a wasteful number, since it uses less digits than its factorization.

882200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 882200 is about 939.2550239418. The cubic root of 882200 is about 95.9081876836.

Adding to 882200 its product of nonzero digits (256), we get a triangular number (882456 = T₁₃₂₈).

Adding to 882200 its reverse (2288), we get a palindrome (884488).

It can be divided in two parts, 882 and 200, that multiplied together give a square (176400 = 420²).

The spelling of 882200 in words is "eight hundred eighty-two thousand, two hundred".