677877 has 16 divisors (see below), whose sum is σ = 963072. Its totient is φ = 423360.

The previous prime is 677857. The next prime is 677891. The reversal of 677877 is 778776.

It is not a de Polignac number, because 677877 - 2⁶ = 677813 is a prime.

It is a zygodrome in base 4.

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 677877.

It is not an unprimeable number, because it can be changed into a prime (677827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3343 + ... + 3539.

It is an arithmetic number, because the mean of its divisors is an integer number (60192).

2⁶⁷⁷⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

677877 is a deficient number, since it is larger than the sum of its proper divisors (285195).

677877 is a wasteful number, since it uses less digits than its factorization.

677877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its digits is 115248, while the sum is 42.

The square root of 677877 is about 823.3328609985. The cubic root of 677877 is about 87.8449836340.

The spelling of 677877 in words is "six hundred seventy-seven thousand, eight hundred seventy-seven".