804931680 has 192 divisors, whose sum is σ = 2968939008. Its totient is φ = 179466240.

The previous prime is 804931679. The next prime is 804931703. The reversal of 804931680 is 86139408.

804931680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 134839 + ... + 140681.

It is an arithmetic number, because the mean of its divisors is an integer number (15463224).

Almost surely, 2^804931680 is an apocalyptic number.

804931680 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 804931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484469504).

804931680 is an abundant number, since it is smaller than the sum of its proper divisors (2164007328).

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

804931680 is a wasteful number, since it uses less digits than its factorization.

804931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 804931680 is about 28371.3179108761. The cubic root of 804931680 is about 930.2214295266.

The spelling of 804931680 in words is "eight hundred four million, nine hundred thirty-one thousand, six hundred eighty".