804509307 has 64 divisors (see below), whose sum is σ = 1393459200. Its totient is φ = 449275680.

The previous prime is 804509273. The next prime is 804509327. The reversal of 804509307 is 703905408.

It is not a de Polignac number, because 804509307 - 2⁶ = 804509243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (804509327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2240794 + ... + 2241152.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 2^804509307 is an apocalyptic number.

804509307 is a deficient number, since it is larger than the sum of its proper divisors (588949893).

804509307 is a wasteful number, since it uses less digits than its factorization.

804509307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 804509307 is about 28363.8732721749. The cubic root of 804509307 is about 930.0586955670.

The spelling of 804509307 in words is "eight hundred four million, five hundred nine thousand, three hundred seven".