677907 has 6 divisors (see below), whose sum is σ = 979212. Its totient is φ = 451932.

The previous prime is 677891. The next prime is 677927. The reversal of 677907 is 709776.

It is not a de Polignac number, because 677907 - 2⁴ = 677891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677927) 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, 37653 + ... + 37670.

It is an arithmetic number, because the mean of its divisors is an integer number (163202).

2⁶⁷⁷⁹⁰⁷ is an apocalyptic number.

677907 is a deficient number, since it is larger than the sum of its proper divisors (301305).

677907 is a wasteful number, since it uses less digits than its factorization.

677907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75329 (or 75326 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 677907 is about 823.3510794309. The cubic root of 677907 is about 87.8462794987.

The spelling of 677907 in words is "six hundred seventy-seven thousand, nine hundred seven".