791633205120 has 128 divisors (see below), whose sum is σ = 2527259091840. Its totient is φ = 210773551104.

The previous prime is 791633205079. The next prime is 791633205137. The reversal of 791633205120 is 21502336197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913947 + ... + 1555173.

It is an arithmetic number, because the mean of its divisors is an integer number (19744211655).

Almost surely, 2^791633205120 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 791633205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263629545920).

791633205120 is an abundant number, since it is smaller than the sum of its proper divisors (1735625886720).

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

791633205120 is a wasteful number, since it uses less digits than its factorization.

791633205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641892 (or 641880 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 791633205120 in words is "seven hundred ninety-one billion, six hundred thirty-three million, two hundred five thousand, one hundred twenty".