800900 has 18 divisors (see below), whose sum is σ = 1738170. Its totient is φ = 320320.

The previous prime is 800897. The next prime is 800903. The reversal of 800900 is 9008.

It is an interprime number because it is at equal distance from previous prime (800897) and next prime (800903).

It can be written as a sum of positive squares in 3 ways, for example, as 81796 + 719104 = 286^2 + 848^2 .

800900 is a modest number, since divided by 900 gives 800 as remainder.

It is not an unprimeable number, because it can be changed into a prime (800903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3905 + ... + 4104.

It is an arithmetic number, because the mean of its divisors is an integer number (96565).

2⁸⁰⁰⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

800900 is an abundant number, since it is smaller than the sum of its proper divisors (937270).

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

800900 is a wasteful number, since it uses less digits than its factorization.

800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 800900 is about 894.9301648732. The cubic root of 800900 is about 92.8665755422.

Adding to 800900 its reverse (9008), we get a palindrome (809908).

The spelling of 800900 in words is "eight hundred thousand, nine hundred".