791347200 has 408 divisors, whose sum is σ = 3120538368. Its totient is φ = 173015040.

The previous prime is 791347163. The next prime is 791347201. The reversal of 791347200 is 2743197.

It is not an unprimeable number, because it can be changed into a prime (791347201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34406389 + ... + 34406411.

Almost surely, 2^791347200 is an apocalyptic number.

791347200 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 791347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560269184).

791347200 is an abundant number, since it is smaller than the sum of its proper divisors (2329191168).

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

791347200 is an equidigital number, since it uses as much as digits as its factorization.

791347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 791347200 is about 28130.8940490700. The cubic root of 791347200 is about 924.9587320279.

The spelling of 791347200 in words is "seven hundred ninety-one million, three hundred forty-seven thousand, two hundred".