992800 has 72 divisors (see below), whose sum is σ = 2601396. Its totient is φ = 368640.

The previous prime is 992777. The next prime is 992801. The reversal of 992800 is 8299.

It is a happy number.

992800 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 535824 + 456976 = 732^2 + 676^2 .

It is not an unprimeable number, because it can be changed into a prime (992801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13564 + ... + 13636.

2⁹⁹²⁸⁰⁰ 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 992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300698).

992800 is an abundant number, since it is smaller than the sum of its proper divisors (1608596).

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

992800 is a wasteful number, since it uses less digits than its factorization.

992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 992800 is about 996.3934965665. The cubic root of 992800 is about 99.7594216849.

The spelling of 992800 in words is "nine hundred ninety-two thousand, eight hundred".