808264900 has 27 divisors (see below), whose sum is σ = 1754551981. Its totient is φ = 323192240.

The previous prime is 808264871. The next prime is 808264901. The reversal of 808264900 is 9462808.

The square root of 808264900 is 28430.

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., 290975364 + 517289536 = 17058^2 + 22744^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 808264900.

It is not an unprimeable number, because it can be changed into a prime (808264901) 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, 282879 + ... + 285721.

Almost surely, 2^808264900 is an apocalyptic number.

808264900 is the 28430-th square number.

It is an amenable number.

808264900 is an abundant number, since it is smaller than the sum of its proper divisors (946287081).

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

808264900 is an equidigital number, since it uses as much as digits as its factorization.

808264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 808264900 is about 931.5036760680.

The spelling of 808264900 in words is "eight hundred eight million, two hundred sixty-four thousand, nine hundred".