1808800900 has 27 divisors (see below), whose sum is σ = 3926021071. Its totient is φ = 723350240.

The previous prime is 1808800897. The next prime is 1808800909. The reversal of 1808800900 is 90088081.

The square root of 1808800900 is 42530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 577633156 + 1231167744 = 24034^2 + 35088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1808800909) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 423174 + ... + 427426.

Almost surely, 2^1808800900 is an apocalyptic number.

1808800900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1808800900 is the 42530-th square number.

It is an amenable number.

1808800900 is an abundant number, since it is smaller than the sum of its proper divisors (2117220171).

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

1808800900 is an frugal number, since it uses more digits than its factorization.

1808800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The cubic root of 1808800900 is about 1218.4197267674.

Adding to 1808800900 its reverse (90088081), we get a palindrome (1898888981).

The spelling of 1808800900 in words is "one billion, eight hundred eight million, eight hundred thousand, nine hundred".