796688 has 40 divisors (see below), whose sum is σ = 1707480. Its totient is φ = 358400.

The previous prime is 796687. The next prime is 796693. The reversal of 796688 is 886697.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 350464 = 668^2 + 592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796687) 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 7 ways as a sum of consecutive naturals, for example, 7838 + ... + 7938.

It is an arithmetic number, because the mean of its divisors is an integer number (42687).

2⁷⁹⁶⁶⁸⁸ 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 796688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853740).

796688 is an abundant number, since it is smaller than the sum of its proper divisors (910792).

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

796688 is a wasteful number, since it uses less digits than its factorization.

796688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 796688 is about 892.5738064720. The cubic root of 796688 is about 92.7034916239.

Subtracting 796688 from its reverse (886697), we obtain a palindrome (90009).

The spelling of 796688 in words is "seven hundred ninety-six thousand, six hundred eighty-eight".