802008000 has 448 divisors, whose sum is σ = 3043123200. Its totient is φ = 206668800.

The previous prime is 802007989. The next prime is 802008013. The reversal of 802008000 is 800208.

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 a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10151961 + ... + 10152039.

Almost surely, 2^802008000 is an apocalyptic number.

802008000 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 802008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521561600).

802008000 is an abundant number, since it is smaller than the sum of its proper divisors (2241115200).

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

802008000 is a wasteful number, since it uses less digits than its factorization.

802008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

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

The square root of 802008000 is about 28319.7457615707. The cubic root of 802008000 is about 929.0938103259.

Adding to 802008000 its reverse (800208), we get a palindrome (802808208).

The spelling of 802008000 in words is "eight hundred two million, eight thousand".