796224 has 112 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 215040.

The previous prime is 796217. The next prime is 796247. The reversal of 796224 is 422697.

It is a happy number.

It is a d-powerful number, because it can be written as 7³ + 9⁶ + 2⁵ + 6³ + 2¹¹ + 4⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 796191 and 796200.

It is an unprimeable number.

796224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27442 + ... + 27470.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2⁷⁹⁶²²⁴ 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 796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160).

796224 is an abundant number, since it is smaller than the sum of its proper divisors (1764096).

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

796224 is a wasteful number, since it uses less digits than its factorization.

796224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 796224 is about 892.3138461326. The cubic root of 796224 is about 92.6854909454.

The spelling of 796224 in words is "seven hundred ninety-six thousand, two hundred twenty-four".