800216689104 has 600 divisors, whose sum is σ = 2753330025600. Its totient is φ = 219785218560.

The previous prime is 800216689039. The next prime is 800216689121. The reversal of 800216689104 is 401986612008.

It is a super-3 number, since 3×800216689104³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 800216689104.

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 119 ways as a sum of consecutive naturals, for example, 2292884322 + ... + 2292884670.

It is an arithmetic number, because the mean of its divisors is an integer number (4588883376).

Almost surely, 2^800216689104 is an apocalyptic number.

800216689104 is a gapful number since it is divisible by the number (84) 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 800216689104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376665012800).

800216689104 is an abundant number, since it is smaller than the sum of its proper divisors (1953113336496).

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

800216689104 is a wasteful number, since it uses less digits than its factorization.

800216689104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 800216689104 in words is "eight hundred billion, two hundred sixteen million, six hundred eighty-nine thousand, one hundred four".