677864 has 16 divisors (see below), whose sum is σ = 1386720. Its totient is φ = 308080.

The previous prime is 677857. The next prime is 677891. The reversal of 677864 is 468776.

It is an Ulam number.

It is an unprimeable number.

677864 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 3 ways as a sum of consecutive naturals, for example, 3764 + ... + 3939.

It is an arithmetic number, because the mean of its divisors is an integer number (86670).

2⁶⁷⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

677864 is an abundant number, since it is smaller than the sum of its proper divisors (708856).

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

677864 is a wasteful number, since it uses less digits than its factorization.

677864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 7716 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 677864 is about 823.3249662193. The cubic root of 677864 is about 87.8444220808.

The spelling of 677864 in words is "six hundred seventy-seven thousand, eight hundred sixty-four".