791256648 has 288 divisors, whose sum is σ = 2616753600. Its totient is φ = 194987520.

The previous prime is 791256643. The next prime is 791256689. The reversal of 791256648 is 846652197.

791256648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 791256597 and 791256606.

It is not an unprimeable number, because it can be changed into a prime (791256643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25524393 + ... + 25524423.

It is an arithmetic number, because the mean of its divisors is an integer number (9085950).

Almost surely, 2^791256648 is an apocalyptic number.

791256648 is a gapful number since it is divisible by the number (78) 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 791256648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308376800).

791256648 is an abundant number, since it is smaller than the sum of its proper divisors (1825496952).

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

791256648 is a wasteful number, since it uses less digits than its factorization.

791256648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 791256648 is about 28129.2845269836. The cubic root of 791256648 is about 924.9234503976.

The spelling of 791256648 in words is "seven hundred ninety-one million, two hundred fifty-six thousand, six hundred forty-eight".