687792 has 80 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 185856.

The previous prime is 687787. The next prime is 687809. The reversal of 687792 is 297786.

It is a self number, because there is not a number n which added to its sum of digits gives 687792.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687792.

It is an unprimeable number.

687792 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 15 ways as a sum of consecutive naturals, for example, 7684 + ... + 7772.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁶⁸⁷⁷⁹² 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 687792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

687792 is an abundant number, since it is smaller than the sum of its proper divisors (1454928).

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

687792 is a wasteful number, since it uses less digits than its factorization.

687792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 687792 is about 829.3322615213. The cubic root of 687792 is about 88.2712019080.

The spelling of 687792 in words is "six hundred eighty-seven thousand, seven hundred ninety-two".