796960 has 48 divisors (see below), whose sum is σ = 2000376. Its totient is φ = 299008.

The previous prime is 796951. The next prime is 796967. The reversal of 796960 is 69697.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 1296 = 892^2 + 36^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (796967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2574 + ... + 2866.

2⁷⁹⁶⁹⁶⁰ 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 796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000188).

796960 is an abundant number, since it is smaller than the sum of its proper divisors (1203416).

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

796960 is a wasteful number, since it uses less digits than its factorization.

796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 796960 is about 892.7261618212. The cubic root of 796960 is about 92.7140404965.

The spelling of 796960 in words is "seven hundred ninety-six thousand, nine hundred sixty".