800960013345240 has 384 divisors, whose sum is σ = 2985712497331200. Its totient is φ = 182417231969280.

The previous prime is 800960013345157. The next prime is 800960013345299. The reversal of 800960013345240 is 42543310069008.

800960013345240 is a `hidden beast` number, since 8 + 0 + 0 + 9 + 60 + 0 + 1 + 3 + 345 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4009933291 + ... + 4010133029.

It is an arithmetic number, because the mean of its divisors is an integer number (7775292961800).

Almost surely, 2^{800960013345240} 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 800960013345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492856248665600).

800960013345240 is an abundant number, since it is smaller than the sum of its proper divisors (2184752483985960).

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

800960013345240 is a wasteful number, since it uses less digits than its factorization.

800960013345240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205487 (or 205480 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 800960013345240 in words is "eight hundred trillion, nine hundred sixty billion, thirteen million, three hundred forty-five thousand, two hundred forty".