795847852800 has 3456 divisors, whose sum is σ = 4046860984320. Its totient is φ = 147706675200.

The previous prime is 795847852781. The next prime is 795847852817. The reversal of 795847852800 is 8258748597.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7437830347 + ... + 7437830453.

It is an arithmetic number, because the mean of its divisors is an integer number (1170966720).

Almost surely, 2^795847852800 is an apocalyptic number.

795847852800 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 795847852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023430492160).

795847852800 is an abundant number, since it is smaller than the sum of its proper divisors (3251013131520).

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

795847852800 is a wasteful number, since it uses less digits than its factorization.

795847852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 795847852800 in words is "seven hundred ninety-five billion, eight hundred forty-seven million, eight hundred fifty-two thousand, eight hundred".