800000800 has 72 divisors (see below), whose sum is σ = 1972537812. Its totient is φ = 316800000.

The previous prime is 800000779. The next prime is 800000809. The reversal of 800000800 is 8000008.

800000800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 709902736 + 90098064 = 26644^2 + 9492^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (800000809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75850 + ... + 85750.

Almost surely, 2^800000800 is an apocalyptic number.

800000800 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 800000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986268906).

800000800 is an abundant number, since it is smaller than the sum of its proper divisors (1172537012).

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

800000800 is a wasteful number, since it uses less digits than its factorization.

800000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 800000800 is about 28284.2853895940. The cubic root of 800000800 is about 928.3180761617.

Adding to 800000800 its reverse (8000008), we get a palindrome (808000808).

800000800 divided by its reverse (8000008) gives a square (100 = 10²).

The spelling of 800000800 in words is "eight hundred million, eight hundred", and thus it is an aban number.