800195955768 has 384 divisors, whose sum is σ = 2493193996800. Its totient is φ = 229603046400.

The previous prime is 800195955737. The next prime is 800195955791. The reversal of 800195955768 is 867559591008.

800195955768 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 9 + 59 + 5 + 576 + 8 = 666.

800195955768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654288805 + ... + 654290027.

It is an arithmetic number, because the mean of its divisors is an integer number (6492692700).

Almost surely, 2^800195955768 is an apocalyptic number.

800195955768 is a gapful number since it is divisible by the number (88) 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 800195955768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246596998400).

800195955768 is an abundant number, since it is smaller than the sum of its proper divisors (1692998041032).

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

800195955768 is a wasteful number, since it uses less digits than its factorization.

800195955768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 800195955768 in words is "eight hundred billion, one hundred ninety-five million, nine hundred fifty-five thousand, seven hundred sixty-eight".