802000800 has 432 divisors, whose sum is σ = 3071053440. Its totient is φ = 196331520.

The previous prime is 802000757. The next prime is 802000841. The reversal of 802000800 is 8000208.

802000800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 71 ways as a sum of consecutive naturals, for example, 4802317 + ... + 4802483.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^802000800 is an apocalyptic number.

802000800 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 802000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

802000800 is an abundant number, since it is smaller than the sum of its proper divisors (2269052640).

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

802000800 is a wasteful number, since it uses less digits than its factorization.

802000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 802000800 is about 28319.6186415001. The cubic root of 802000800 is about 929.0910300147.

The spelling of 802000800 in words is "eight hundred two million, eight hundred", and thus it is an aban number.