796320 has 144 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 179712.

The previous prime is 796307. The next prime is 796337. The reversal of 796320 is 23697.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

796320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10041 + ... + 10119.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁷⁹⁶³²⁰ is an apocalyptic number.

796320 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 796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

796320 is an abundant number, since it is smaller than the sum of its proper divisors (2348640).

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

796320 is a wasteful number, since it uses less digits than its factorization.

796320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 796320 is about 892.3676372438. The cubic root of 796320 is about 92.6892157974.

The spelling of 796320 in words is "seven hundred ninety-six thousand, three hundred twenty".