796429200 has 240 divisors, whose sum is σ = 2966952960. Its totient is φ = 178844160.

The previous prime is 796429199. The next prime is 796429217. The reversal of 796429200 is 2924697.

796429200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×796429200² = 1268598941225280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494797 + ... + 496403.

It is an arithmetic number, because the mean of its divisors is an integer number (12362304).

Almost surely, 2^796429200 is an apocalyptic number.

796429200 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 796429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483476480).

796429200 is an abundant number, since it is smaller than the sum of its proper divisors (2170523760).

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

796429200 is a wasteful number, since it uses less digits than its factorization.

796429200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 796429200 is about 28221.0772296169. The cubic root of 796429200 is about 926.9345245255.

The spelling of 796429200 in words is "seven hundred ninety-six million, four hundred twenty-nine thousand, two hundred".