809713800 has 384 divisors, whose sum is σ = 3295027200. Its totient is φ = 178848000.

The previous prime is 809713799. The next prime is 809713819. The reversal of 809713800 is 8317908.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171455 + ... + 1172145.

It is an arithmetic number, because the mean of its divisors is an integer number (8580800).

Almost surely, 2^809713800 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 809713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647513600).

809713800 is an abundant number, since it is smaller than the sum of its proper divisors (2485313400).

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

809713800 is a wasteful number, since it uses less digits than its factorization.

809713800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 809713800 is about 28455.4704758154. The cubic root of 809713800 is about 932.0599499711.

The spelling of 809713800 in words is "eight hundred nine million, seven hundred thirteen thousand, eight hundred".