809840304 has 240 divisors, whose sum is σ = 2911813632. Its totient is φ = 204221952.

The previous prime is 809840303. The next prime is 809840309. The reversal of 809840304 is 403048908.

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

It is not an unprimeable number, because it can be changed into a prime (809840303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300049 + ... + 302735.

Almost surely, 2^809840304 is an apocalyptic number.

809840304 is a gapful number since it is divisible by the number (84) 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 809840304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455906816).

809840304 is an abundant number, since it is smaller than the sum of its proper divisors (2101973328).

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

809840304 is a wasteful number, since it uses less digits than its factorization.

809840304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 809840304 is about 28457.6932304781. The cubic root of 809840304 is about 932.1084869447.

The spelling of 809840304 in words is "eight hundred nine million, eight hundred forty thousand, three hundred four".