791330400 has 324 divisors, whose sum is σ = 3247456212. Its totient is φ = 180794880.

The previous prime is 791330389. The next prime is 791330401. The reversal of 791330400 is 4033197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791330401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 351679 + ... + 353921.

It is an arithmetic number, because the mean of its divisors is an integer number (10023013).

Almost surely, 2^791330400 is an apocalyptic number.

791330400 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 791330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623728106).

791330400 is an abundant number, since it is smaller than the sum of its proper divisors (2456125812).

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

791330400 is a wasteful number, since it uses less digits than its factorization.

791330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 791330400 is about 28130.5954433958. The cubic root of 791330400 is about 924.9521864742.

Adding to 791330400 its reverse (4033197), we get a palindrome (795363597).

The spelling of 791330400 in words is "seven hundred ninety-one million, three hundred thirty thousand, four hundred".