8008900 has 27 divisors (see below), whose sum is σ = 17440941. Its totient is φ = 3192240.

The previous prime is 8008877. The next prime is 8008907. The reversal of 8008900 is 98008.

The square root of 8008900 is 2830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2883204 + 5125696 = 1698^2 + 2264^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8008907) 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 8 ways as a sum of consecutive naturals, for example, 28159 + ... + 28441.

Almost surely, 2^8008900 is an apocalyptic number.

8008900 is the 2830-th square number.

It is an amenable number.

8008900 is an abundant number, since it is smaller than the sum of its proper divisors (9432041).

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

8008900 is a wasteful number, since it uses less digits than its factorization.

8008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The cubic root of 8008900 is about 200.0741391802.

Multiplying 8008900 by its sum of digits (25), we get a square (200222500 = 14150²).

8008900 divided by its sum of digits (25) gives a square (320356 = 566²).

Multiplying 8008900 by its product of nonzero digits (576), we get a square (4613126400 = 67920²).

The spelling of 8008900 in words is "eight million, eight thousand, nine hundred".