796989600 has 432 divisors, whose sum is σ = 3180733920. Its totient is φ = 186009600.

The previous prime is 796989581. The next prime is 796989601. The reversal of 796989600 is 6989697.

It is not an unprimeable number, because it can be changed into a prime (796989601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2296627 + ... + 2296973.

It is an arithmetic number, because the mean of its divisors is an integer number (7362810).

Almost surely, 2^796989600 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 796989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590366960).

796989600 is an abundant number, since it is smaller than the sum of its proper divisors (2383744320).

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

796989600 is a wasteful number, since it uses less digits than its factorization.

796989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 796989600 is about 28231.0042329351. The cubic root of 796989600 is about 927.1518831720.

It can be divided in two parts, 79698 and 9600, that added together give a palindrome (89298).

The spelling of 796989600 in words is "seven hundred ninety-six million, nine hundred eighty-nine thousand, six hundred".