800928315 has 48 divisors (see below), whose sum is σ = 1543108320. Its totient is φ = 380989440.

The previous prime is 800928301. The next prime is 800928329. The reversal of 800928315 is 513829008.

It is an interprime number because it is at equal distance from previous prime (800928301) and next prime (800928329).

It is not a de Polignac number, because 800928315 - 2¹⁴ = 800911931 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 800928315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10971 + ... + 41499.

It is an arithmetic number, because the mean of its divisors is an integer number (32148090).

Almost surely, 2^800928315 is an apocalyptic number.

800928315 is a deficient number, since it is larger than the sum of its proper divisors (742180005).

800928315 is a wasteful number, since it uses less digits than its factorization.

800928315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30604 (or 30601 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 800928315 is about 28300.6769353668. The cubic root of 800928315 is about 928.6766993021.

The spelling of 800928315 in words is "eight hundred million, nine hundred twenty-eight thousand, three hundred fifteen".