791894315520 has 2880 divisors, whose sum is σ = 3835382234112. Its totient is φ = 149874278400.

The previous prime is 791894315449. The next prime is 791894315521. The reversal of 791894315520 is 25513498197.

It is a happy number.

791894315520 is a `hidden beast` number, since 7 + 9 + 1 + 89 + 4 + 3 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (791894315521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25544977905 + ... + 25544977935.

Almost surely, 2^791894315520 is an apocalyptic number.

791894315520 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 791894315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917691117056).

791894315520 is an abundant number, since it is smaller than the sum of its proper divisors (3043487918592).

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

791894315520 is a wasteful number, since it uses less digits than its factorization.

791894315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 791894315520 in words is "seven hundred ninety-one billion, eight hundred ninety-four million, three hundred fifteen thousand, five hundred twenty".