800606304 has 72 divisors (see below), whose sum is σ = 2279643912. Its totient is φ = 266526720.

The previous prime is 800606291. The next prime is 800606309. The reversal of 800606304 is 403606008.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800606309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330859 + ... + 333269.

It is an arithmetic number, because the mean of its divisors is an integer number (31661721).

Almost surely, 2^800606304 is an apocalyptic number.

It is an amenable number.

800606304 is an abundant number, since it is smaller than the sum of its proper divisors (1479037608).

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

800606304 is a wasteful number, since it uses less digits than its factorization.

800606304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 800606304 is about 28294.9872592302. The cubic root of 800606304 is about 928.5522253250.

The spelling of 800606304 in words is "eight hundred million, six hundred six thousand, three hundred four".