800968568040 has 320 divisors, whose sum is σ = 2856701390400. Its totient is φ = 200590497792.

The previous prime is 800968568011. The next prime is 800968568041. The reversal of 800968568040 is 40865869008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (800968568041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25706791 + ... + 25737929.

It is an arithmetic number, because the mean of its divisors is an integer number (8927191845).

Almost surely, 2^800968568040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800968568040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428350695200).

800968568040 is an abundant number, since it is smaller than the sum of its proper divisors (2055732822360).

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

800968568040 is a wasteful number, since it uses less digits than its factorization.

800968568040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31646 (or 31633 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 800968568040 in words is "eight hundred billion, nine hundred sixty-eight million, five hundred sixty-eight thousand, forty".