796798800 has 270 divisors, whose sum is σ = 3217272318. Its totient is φ = 182085120.

The previous prime is 796798781. The next prime is 796798817. The reversal of 796798800 is 8897697.

It can be written as a sum of positive squares in 3 ways, for example, as 9659664 + 787139136 = 3108^2 + 28056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 174142 + ... + 178658.

Almost surely, 2^796798800 is an apocalyptic number.

796798800 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 796798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608636159).

796798800 is an abundant number, since it is smaller than the sum of its proper divisors (2420473518).

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

796798800 is a wasteful number, since it uses less digits than its factorization.

796798800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 796798800 is about 28227.6247672382. The cubic root of 796798800 is about 927.0778902793.

The spelling of 796798800 in words is "seven hundred ninety-six million, seven hundred ninety-eight thousand, eight hundred".