7992900 has 108 divisors (see below), whose sum is σ = 25592112. Its totient is φ = 2086080.

The previous prime is 7992889. The next prime is 7992923. The reversal of 7992900 is 92997.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74647 + ... + 74753.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^7992900 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 7992900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056).

7992900 is an abundant number, since it is smaller than the sum of its proper divisors (17599212).

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

7992900 is a wasteful number, since it uses less digits than its factorization.

7992900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 7992900 is about 2827.1717316074. The cubic root of 7992900 is about 199.9408158212.

The spelling of 7992900 in words is "seven million, nine hundred ninety-two thousand, nine hundred".