795513083904 has 1920 divisors, whose sum is σ = 3196537344000. Its totient is φ = 195084288000.

The previous prime is 795513083899. The next prime is 795513083909. The reversal of 795513083904 is 409380315597.

795513083904 is a `hidden beast` number, since 7 + 9 + 551 + 3 + 0 + 83 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (795513083899) and next prime (795513083909).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795513083909) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19402758124 + ... + 19402758164.

It is an arithmetic number, because the mean of its divisors is an integer number (1664863200).

Almost surely, 2^795513083904 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 795513083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598268672000).

795513083904 is an abundant number, since it is smaller than the sum of its proper divisors (2401024260096).

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

795513083904 is a wasteful number, since it uses less digits than its factorization.

795513083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 795513083904 in words is "seven hundred ninety-five billion, five hundred thirteen million, eighty-three thousand, nine hundred four".