796800 has 96 divisors (see below), whose sum is σ = 2656080. Its totient is φ = 209920.

The previous prime is 796799. The next prime is 796801. The reversal of 796800 is 8697.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (796799) and next prime (796801).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (796801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9559 + ... + 9641.

2⁷⁹⁶⁸⁰⁰ 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 796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328040).

796800 is an abundant number, since it is smaller than the sum of its proper divisors (1859280).

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

796800 is a wasteful number, since it uses less digits than its factorization.

796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 796800 is about 892.6365441769. The cubic root of 796800 is about 92.7078355680.

It can be divided in two parts, 796 and 800, that added together give a triangular number (1596 = T₅₆).

The spelling of 796800 in words is "seven hundred ninety-six thousand, eight hundred".