678807 has 16 divisors (see below), whose sum is σ = 1039360. Its totient is φ = 437400.

The previous prime is 678779. The next prime is 678809. The reversal of 678807 is 708876.

It is a happy number.

It is not a de Polignac number, because 678807 - 2¹⁰ = 677783 is a prime.

It is a Duffinian number.

678807 is a lucky 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 678807.

It is not an unprimeable number, because it can be changed into a prime (678809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (64960).

2⁶⁷⁸⁸⁰⁷ is an apocalyptic number.

678807 is a deficient number, since it is larger than the sum of its proper divisors (360553).

678807 is a wasteful number, since it uses less digits than its factorization.

678807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

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

The square root of 678807 is about 823.8974450743. The cubic root of 678807 is about 87.8851376752.

It can be divided in two parts, 678 and 807, that added together give a triangular number (1485 = T₅₄).

The spelling of 678807 in words is "six hundred seventy-eight thousand, eight hundred seven".