800368480 has 48 divisors (see below), whose sum is σ = 1896081264. Its totient is φ = 319265280.

The previous prime is 800368451. The next prime is 800368507. The reversal of 800368480 is 84863008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52975 + ... + 66385.

It is an arithmetic number, because the mean of its divisors is an integer number (39501693).

Almost surely, 2^800368480 is an apocalyptic number.

800368480 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 800368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948040632).

800368480 is an abundant number, since it is smaller than the sum of its proper divisors (1095712784).

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

800368480 is a wasteful number, since it uses less digits than its factorization.

800368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 800368480 is about 28290.7843652310. The cubic root of 800368480 is about 928.4602725665.

The spelling of 800368480 in words is "eight hundred million, three hundred sixty-eight thousand, four hundred eighty".