791739671040 has 400 divisors, whose sum is σ = 2867690663640. Its totient is φ = 208753459200.

The previous prime is 791739671039. The next prime is 791739671111. The reversal of 791739671040 is 40176937197.

It can be written as a sum of positive squares in 4 ways, for example, as 622483128576 + 169256542464 = 788976^2 + 411408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18433590 + ... + 18476490.

Almost surely, 2^791739671040 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 791739671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433845331820).

791739671040 is an abundant number, since it is smaller than the sum of its proper divisors (2075950992600).

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

791739671040 is an equidigital number, since it uses as much as digits as its factorization.

791739671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43025 (or 43000 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 791739671040 in words is "seven hundred ninety-one billion, seven hundred thirty-nine million, six hundred seventy-one thousand, forty".