800982247296 has 512 divisors, whose sum is σ = 2830608691200. Its totient is φ = 194387558400.

The previous prime is 800982247253. The next prime is 800982247301. The reversal of 800982247296 is 692742289008.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 41001051 + ... + 41020581.

It is an arithmetic number, because the mean of its divisors is an integer number (5528532600).

Almost surely, 2^800982247296 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 800982247296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415304345600).

800982247296 is an abundant number, since it is smaller than the sum of its proper divisors (2029626443904).

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

800982247296 is a wasteful number, since it uses less digits than its factorization.

800982247296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19658 (or 19646 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 800982247296 in words is "eight hundred billion, nine hundred eighty-two million, two hundred forty-seven thousand, two hundred ninety-six".