687807 has 6 divisors (see below), whose sum is σ = 993512. Its totient is φ = 458532.

The previous prime is 687787. The next prime is 687809. The reversal of 687807 is 708786.

It is a happy number.

It is not a de Polignac number, because 687807 - 2⁷ = 687679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687807.

It is not an unprimeable number, because it can be changed into a prime (687809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38203 + ... + 38220.

2⁶⁸⁷⁸⁰⁷ is an apocalyptic number.

687807 is a deficient number, since it is larger than the sum of its proper divisors (305705).

687807 is a wasteful number, since it uses less digits than its factorization.

687807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76429 (or 76426 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 687807 is about 829.3413048920. The cubic root of 687807 is about 88.2718436032.

It can be divided in two parts, 68 and 7807, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 687807 in words is "six hundred eighty-seven thousand, eight hundred seven".