809242680 has 128 divisors (see below), whose sum is σ = 2643840000. Its totient is φ = 197374464.

The previous prime is 809242669. The next prime is 809242723. The reversal of 809242680 is 86242908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60001 + ... + 72239.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000).

Almost surely, 2^809242680 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 809242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920000).

809242680 is an abundant number, since it is smaller than the sum of its proper divisors (1834597320).

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

809242680 is a wasteful number, since it uses less digits than its factorization.

809242680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12301 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 809242680 is about 28447.1910739883. The cubic root of 809242680 is about 931.8791464679.

The spelling of 809242680 in words is "eight hundred nine million, two hundred forty-two thousand, six hundred eighty".