791789394240 has 1792 divisors, whose sum is σ = 3355043328000. Its totient is φ = 173903708160.

The previous prime is 791789394217. The next prime is 791789394259. The reversal of 791789394240 is 42493987197.

791789394240 is a `hidden beast` number, since 7 + 9 + 178 + 9 + 39 + 424 + 0 = 666.

It is a super-2 number, since 2×791789394240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4374526950 + ... + 4374527130.

It is an arithmetic number, because the mean of its divisors is an integer number (1872234000).

Almost surely, 2^791789394240 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 791789394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677521664000).

791789394240 is an abundant number, since it is smaller than the sum of its proper divisors (2563253933760).

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

791789394240 is a wasteful number, since it uses less digits than its factorization.

791789394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 791789394240 in words is "seven hundred ninety-one billion, seven hundred eighty-nine million, three hundred ninety-four thousand, two hundred forty".