677505 has 24 divisors (see below), whose sum is σ = 1143936. Its totient is φ = 342240.

The previous prime is 677473. The next prime is 677531. The reversal of 677505 is 505776.

It is not a de Polignac number, because 677505 - 2⁵ = 677473 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14392 + ... + 14438.

It is an arithmetic number, because the mean of its divisors is an integer number (47664).

2⁶⁷⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

677505 is a deficient number, since it is larger than the sum of its proper divisors (466431).

677505 is a wasteful number, since it uses less digits than its factorization.

677505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 677505 is about 823.1069189358. The cubic root of 677505 is about 87.8289117344.

The spelling of 677505 in words is "six hundred seventy-seven thousand, five hundred five".