795382477209600 has 2880 divisors, whose sum is σ = 3201599084544000. Its totient is φ = 170325694218240.

The previous prime is 795382477209599. The next prime is 795382477209611. The reversal of 795382477209600 is 6902774283597.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3503887564687 + ... + 3503887564913.

It is an arithmetic number, because the mean of its divisors is an integer number (1111666348800).

Almost surely, 2^{795382477209600} is an apocalyptic number.

795382477209600 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 795382477209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600799542272000).

795382477209600 is an abundant number, since it is smaller than the sum of its proper divisors (2406216607334400).

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

795382477209600 is a wasteful number, since it uses less digits than its factorization.

795382477209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 69.

The spelling of 795382477209600 in words is "seven hundred ninety-five trillion, three hundred eighty-two billion, four hundred seventy-seven million, two hundred nine thousand, six hundred".