809356680 has 384 divisors, whose sum is σ = 3126988800. Its totient is φ = 179366400.

The previous prime is 809356657. The next prime is 809356697. The reversal of 809356680 is 86653908.

809356680 is a `hidden beast` number, since 8 + 0 + 9 + 3 + 566 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2332267 + ... + 2332613.

It is an arithmetic number, because the mean of its divisors is an integer number (8143200).

Almost surely, 2^809356680 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 809356680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563494400).

809356680 is an abundant number, since it is smaller than the sum of its proper divisors (2317632120).

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

809356680 is a wasteful number, since it uses less digits than its factorization.

809356680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 809356680 is about 28449.1947161954. The cubic root of 809356680 is about 931.9229031131.

The spelling of 809356680 in words is "eight hundred nine million, three hundred fifty-six thousand, six hundred eighty".