806509104 has 80 divisors (see below), whose sum is σ = 2234142720. Its totient is φ = 249799680.

The previous prime is 806509079. The next prime is 806509117. The reversal of 806509104 is 401905608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58209 + ... + 70719.

It is an arithmetic number, because the mean of its divisors is an integer number (27926784).

Almost surely, 2^806509104 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 806509104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117071360).

806509104 is an abundant number, since it is smaller than the sum of its proper divisors (1427633616).

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

806509104 is a wasteful number, since it uses less digits than its factorization.

806509104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 806509104 is about 28399.1039295257. The cubic root of 806509104 is about 930.8286844290.

The spelling of 806509104 in words is "eight hundred six million, five hundred nine thousand, one hundred four".