796723200 has 864 divisors, whose sum is σ = 3696638400. Its totient is φ = 159252480.

The previous prime is 796723199. The next prime is 796723201. The reversal of 796723200 is 2327697.

It is an interprime number because it is at equal distance from previous prime (796723199) and next prime (796723201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796723201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41932791 + ... + 41932809.

Almost surely, 2^796723200 is an apocalyptic number.

796723200 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 796723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848319200).

796723200 is an abundant number, since it is smaller than the sum of its proper divisors (2899915200).

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

796723200 is a wasteful number, since it uses less digits than its factorization.

796723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 796723200 is about 28226.2856217392. The cubic root of 796723200 is about 927.0485690733.

The spelling of 796723200 in words is "seven hundred ninety-six million, seven hundred twenty-three thousand, two hundred".