797688 has 40 divisors (see below), whose sum is σ = 2236080. Its totient is φ = 265680.

The previous prime is 797681. The next prime is 797689. The reversal of 797688 is 886797.

It is a super-2 number, since 2×797688² = 1272612290688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797681) by changing a digit.

797688 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 (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (55902).

2⁷⁹⁷⁶⁸⁸ 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 797688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118040).

797688 is an abundant number, since it is smaller than the sum of its proper divisors (1438392).

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

797688 is a wasteful number, since it uses less digits than its factorization.

797688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1236 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 797688 is about 893.1338085640. The cubic root of 797688 is about 92.7422624399.

It can be divided in two parts, 797 and 688, that added together give a triangular number (1485 = T₅₄).

The spelling of 797688 in words is "seven hundred ninety-seven thousand, six hundred eighty-eight".