809293680 has 300 divisors, whose sum is σ = 3047762520. Its totient is φ = 198941184.

The previous prime is 809293673. The next prime is 809293697. The reversal of 809293680 is 86392908.

809293680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1094751 + ... + 1095489.

Almost surely, 2^809293680 is an apocalyptic number.

809293680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523881260).

809293680 is an abundant number, since it is smaller than the sum of its proper divisors (2238468840).

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

809293680 is a wasteful number, since it uses less digits than its factorization.

809293680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 809293680 is about 28448.0874576833. The cubic root of 809293680 is about 931.8987223171.

The spelling of 809293680 in words is "eight hundred nine million, two hundred ninety-three thousand, six hundred eighty".