791257248 has 120 divisors (see below), whose sum is σ = 2464089012. Its totient is φ = 248223744.

The previous prime is 791257241. The next prime is 791257253. The reversal of 791257248 is 842752197.

It is a happy number.

791257248 is a `hidden beast` number, since 79 + 1 + 2 + 572 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 586995984 + 204261264 = 24228^2 + 14292^2 .

It is not an unprimeable number, because it can be changed into a prime (791257241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35086 + ... + 53042.

Almost surely, 2^791257248 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 791257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232044506).

791257248 is an abundant number, since it is smaller than the sum of its proper divisors (1672831764).

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

791257248 is a wasteful number, since it uses less digits than its factorization.

791257248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17996 (or 17979 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 791257248 is about 28129.2951920236. The cubic root of 791257248 is about 924.9236841835.

The spelling of 791257248 in words is "seven hundred ninety-one million, two hundred fifty-seven thousand, two hundred forty-eight".