800868353725440 has 7040 divisors, whose sum is σ = 4105460864913408. Its totient is φ = 144267458641920.

The previous prime is 800868353725367. The next prime is 800868353725463. The reversal of 800868353725440 is 44527353868008.

800868353725440 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 6 + 8 + 3 + 537 + 2 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1714921528087 + ... + 1714921528553.

Almost surely, 2^{800868353725440} is an apocalyptic number.

800868353725440 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 800868353725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052730432456704).

800868353725440 is an abundant number, since it is smaller than the sum of its proper divisors (3304592511187968).

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

800868353725440 is a wasteful number, since it uses less digits than its factorization.

800868353725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 800868353725440 in words is "eight hundred trillion, eight hundred sixty-eight billion, three hundred fifty-three million, seven hundred twenty-five thousand, four hundred forty".