796566400 has 192 divisors, whose sum is σ = 2303959680. Its totient is φ = 266434560.

The previous prime is 796566389. The next prime is 796566413. The reversal of 796566400 is 4665697.

796566400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962787 + ... + 963613.

It is an arithmetic number, because the mean of its divisors is an integer number (11999790).

Almost surely, 2^796566400 is an apocalyptic number.

796566400 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 796566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151979840).

796566400 is an abundant number, since it is smaller than the sum of its proper divisors (1507393280).

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

796566400 is a wasteful number, since it uses less digits than its factorization.

796566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 796566400 is about 28223.5079322185. The cubic root of 796566400 is about 926.9877488066.

The spelling of 796566400 in words is "seven hundred ninety-six million, five hundred sixty-six thousand, four hundred".