795956595840 has 1920 divisors, whose sum is σ = 3464567251200. Its totient is φ = 173494960128.

The previous prime is 795956595839. The next prime is 795956595881. The reversal of 795956595840 is 48595659597.

795956595840 is a `hidden beast` number, since 7 + 9 + 5 + 9 + 565 + 9 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×795956595840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7043863624 + ... + 7043863736.

It is an arithmetic number, because the mean of its divisors is an integer number (1804462110).

Almost surely, 2^795956595840 is an apocalyptic number.

795956595840 is a gapful number since it is divisible by the number (70) 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 795956595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732283625600).

795956595840 is an abundant number, since it is smaller than the sum of its proper divisors (2668610655360).

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

795956595840 is a wasteful number, since it uses less digits than its factorization.

795956595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 612360000, while the sum is 72.

The spelling of 795956595840 in words is "seven hundred ninety-five billion, nine hundred fifty-six million, five hundred ninety-five thousand, eight hundred forty".