791809820928 has 720 divisors, whose sum is σ = 2806434892800. Its totient is φ = 217280102400.

The previous prime is 791809820927. The next prime is 791809820939. The reversal of 791809820928 is 829028908197.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (791809820927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 670456498 + ... + 670457678.

It is an arithmetic number, because the mean of its divisors is an integer number (3897826240).

Almost surely, 2^791809820928 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 791809820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403217446400).

791809820928 is an abundant number, since it is smaller than the sum of its proper divisors (2014625071872).

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

791809820928 is a wasteful number, since it uses less digits than its factorization.

791809820928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 791809820928 in words is "seven hundred ninety-one billion, eight hundred nine million, eight hundred twenty thousand, nine hundred twenty-eight".