800864480 has 96 divisors (see below), whose sum is σ = 2087503488. Its totient is φ = 288460800.

The previous prime is 800864461. The next prime is 800864483. The reversal of 800864480 is 84468008.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800864483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80585 + ... + 89975.

It is an arithmetic number, because the mean of its divisors is an integer number (21744828).

Almost surely, 2^800864480 is an apocalyptic number.

800864480 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 800864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043751744).

800864480 is an abundant number, since it is smaller than the sum of its proper divisors (1286639008).

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

800864480 is a wasteful number, since it uses less digits than its factorization.

800864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 800864480 is about 28299.5491130159. The cubic root of 800864480 is about 928.6520264107.

The spelling of 800864480 in words is "eight hundred million, eight hundred sixty-four thousand, four hundred eighty".