800795888640 has 1584 divisors, whose sum is σ = 3253630318848. Its totient is φ = 181665792000.

The previous prime is 800795888623. The next prime is 800795888647. The reversal of 800795888640 is 46888597008.

800795888640 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 9 + 588 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is not an unprimeable number, because it can be changed into a prime (800795888647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7086689224 + ... + 7086689336.

Almost surely, 2^800795888640 is an apocalyptic number.

800795888640 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 800795888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626815159424).

800795888640 is an abundant number, since it is smaller than the sum of its proper divisors (2452834430208).

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

800795888640 is a wasteful number, since it uses less digits than its factorization.

800795888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 800795888640 in words is "eight hundred billion, seven hundred ninety-five million, eight hundred eighty-eight thousand, six hundred forty".