882800 has 30 divisors (see below), whose sum is σ = 2121888. Its totient is φ = 352960.

The previous prime is 882779. The next prime is 882823. The reversal of 882800 is 8288.

882800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 882800.

It is a congruent number.

It is an unprimeable number.

882800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 704 + ... + 1503.

2⁸⁸²⁸⁰⁰ is an apocalyptic number.

882800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

882800 is an abundant number, since it is smaller than the sum of its proper divisors (1239088).

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

882800 is a wasteful number, since it uses less digits than its factorization.

882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 882800 is about 939.5743717237. The cubic root of 882800 is about 95.9299257142.

It can be divided in two parts, 882 and 800, that multiplied together give a square (705600 = 840²).

The spelling of 882800 in words is "eight hundred eighty-two thousand, eight hundred".