800320800 has 216 divisors, whose sum is σ = 2699545968. Its totient is φ = 205939200.

The previous prime is 800320799. The next prime is 800320817. The reversal of 800320800 is 8023008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2306227 + ... + 2306573.

It is an arithmetic number, because the mean of its divisors is an integer number (12497898).

Almost surely, 2^800320800 is an apocalyptic number.

800320800 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 800320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349772984).

800320800 is an abundant number, since it is smaller than the sum of its proper divisors (1899225168).

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

800320800 is a wasteful number, since it uses less digits than its factorization.

800320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 800320800 is about 28289.9416754436. The cubic root of 800320800 is about 928.4418352817.

Adding to 800320800 its reverse (8023008), we get a palindrome (808343808).

The spelling of 800320800 in words is "eight hundred million, three hundred twenty thousand, eight hundred".