882922800 has 120 divisors (see below), whose sum is σ = 2845313424. Its totient is φ = 234030080.

The previous prime is 882922793. The next prime is 882922801. The reversal of 882922800 is 8229288.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (882922801) 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 23 ways as a sum of consecutive naturals, for example, 205474 + ... + 209726.

Almost surely, 2^882922800 is an apocalyptic number.

882922800 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 882922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422656712).

882922800 is an abundant number, since it is smaller than the sum of its proper divisors (1962390624).

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

882922800 is a wasteful number, since it uses less digits than its factorization.

882922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 882922800 is about 29714.0168943884. The cubic root of 882922800 is about 959.3437355018.

The spelling of 882922800 in words is "eight hundred eighty-two million, nine hundred twenty-two thousand, eight hundred".