793789079040 has 320 divisors, whose sum is σ = 2821285051200. Its totient is φ = 211550994432.

The previous prime is 793789079023. The next prime is 793789079047. The reversal of 793789079040 is 40970987397.

793789079040 is a `hidden beast` number, since 79 + 378 + 90 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×793789079040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793789079047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204109416 + ... + 204113304.

It is an arithmetic number, because the mean of its divisors is an integer number (8816515785).

Almost surely, 2^793789079040 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 793789079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410642525600).

793789079040 is an abundant number, since it is smaller than the sum of its proper divisors (2027495972160).

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

793789079040 is a wasteful number, since it uses less digits than its factorization.

793789079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 793789079040 in words is "seven hundred ninety-three billion, seven hundred eighty-nine million, seventy-nine thousand, forty".