791128800 has 432 divisors, whose sum is σ = 3480527232. Its totient is φ = 164275200.

The previous prime is 791128763. The next prime is 791128843. The reversal of 791128800 is 8821197.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553687 + ... + 555113.

It is an arithmetic number, because the mean of its divisors is an integer number (8056776).

Almost surely, 2^791128800 is an apocalyptic number.

791128800 is a gapful number since it is divisible by the number (70) 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 791128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740263616).

791128800 is an abundant number, since it is smaller than the sum of its proper divisors (2689398432).

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

791128800 is a wasteful number, since it uses less digits than its factorization.

791128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 791128800 is about 28127.0119280381. The cubic root of 791128800 is about 924.8736326034.

Adding to 791128800 its reverse (8821197), we get a palindrome (799949997).

The spelling of 791128800 in words is "seven hundred ninety-one million, one hundred twenty-eight thousand, eight hundred".