791831291328 has 672 divisors, whose sum is σ = 2960517035520. Its totient is φ = 205221703680.

The previous prime is 791831291291. The next prime is 791831291371. The reversal of 791831291328 is 823192138197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766535100 + ... + 766536132.

Almost surely, 2^791831291328 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 791831291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480258517760).

791831291328 is an abundant number, since it is smaller than the sum of its proper divisors (2168685744192).

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

791831291328 is a wasteful number, since it uses less digits than its factorization.

791831291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1879 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 791831291328 in words is "seven hundred ninety-one billion, eight hundred thirty-one million, two hundred ninety-one thousand, three hundred twenty-eight".