796894400 has 84 divisors (see below), whose sum is σ = 2002767648. Its totient is φ = 311946240.

The previous prime is 796894387. The next prime is 796894403. The reversal of 796894400 is 4498697.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (796894403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69902 + ... + 80498.

It is an arithmetic number, because the mean of its divisors is an integer number (23842472).

Almost surely, 2^796894400 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 796894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001383824).

796894400 is an abundant number, since it is smaller than the sum of its proper divisors (1205873248).

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

796894400 is a wasteful number, since it uses less digits than its factorization.

796894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 796894400 is about 28229.3180930748. The cubic root of 796894400 is about 927.1149657627.

The spelling of 796894400 in words is "seven hundred ninety-six million, eight hundred ninety-four thousand, four hundred".