800216506800 has 480 divisors, whose sum is σ = 2878553260800. Its totient is φ = 211126487040.

The previous prime is 800216506777. The next prime is 800216506841. The reversal of 800216506800 is 8605612008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560767687 + ... + 560769113.

It is an arithmetic number, because the mean of its divisors is an integer number (5996985960).

Almost surely, 2^800216506800 is an apocalyptic number.

800216506800 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 800216506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439276630400).

800216506800 is an abundant number, since it is smaller than the sum of its proper divisors (2078336754000).

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

800216506800 is a wasteful number, since it uses less digits than its factorization.

800216506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 800216506800 in words is "eight hundred billion, two hundred sixteen million, five hundred six thousand, eight hundred".