809800 has 24 divisors (see below), whose sum is σ = 1883250. Its totient is φ = 323840.

The previous prime is 809797. The next prime is 809801. The reversal of 809800 is 8908.

It can be written as a sum of positive squares in 3 ways, for example, as 498436 + 311364 = 706^2 + 558^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (809801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1825 + ... + 2224.

2⁸⁰⁹⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

809800 is an abundant number, since it is smaller than the sum of its proper divisors (1073450).

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

809800 is a wasteful number, since it uses less digits than its factorization.

809800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4056 counting only the distinct ones).

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

The square root of 809800 is about 899.8888820293. Note that the first 5 decimals coincide. The cubic root of 809800 is about 93.2093023680.

The spelling of 809800 in words is "eight hundred nine thousand, eight hundred".