809675800 has 72 divisors (see below), whose sum is σ = 1904995260. Its totient is φ = 320040000.

The previous prime is 809675731. The next prime is 809675803. The reversal of 809675800 is 8576908.

It is a happy number.

It is a super-2 number, since 2×809675800² = 1311149802211280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809675803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3225675 + ... + 3225925.

Almost surely, 2^809675800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809675800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952497630).

809675800 is an abundant number, since it is smaller than the sum of its proper divisors (1095319460).

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

809675800 is a wasteful number, since it uses less digits than its factorization.

809675800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 809675800 is about 28454.8027580583. The cubic root of 809675800 is about 932.0453691681.

The spelling of 809675800 in words is "eight hundred nine million, six hundred seventy-five thousand, eight hundred".