882900 has 90 divisors (see below), whose sum is σ = 2888270. Its totient is φ = 233280.

The previous prime is 882883. The next prime is 882907. The reversal of 882900 is 9288.

It can be written as a sum of positive squares in 3 ways, for example, as 104976 + 777924 = 324^2 + 882^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882907) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 8046 + ... + 8154.

2⁸⁸²⁹⁰⁰ 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 882900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444135).

882900 is an abundant number, since it is smaller than the sum of its proper divisors (2005370).

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

882900 is a wasteful number, since it uses less digits than its factorization.

882900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 882900 is about 939.6275858019. The cubic root of 882900 is about 95.9335477617.

The spelling of 882900 in words is "eight hundred eighty-two thousand, nine hundred".