677677 has 16 divisors (see below), whose sum is σ = 911232. Its totient is φ = 486720.

The previous prime is 677657. The next prime is 677681. The reversal of 677677 is 776776.

It is not a de Polignac number, because 677677 - 2¹¹ = 675629 is a prime.

It is a super-2 number, since 2×677677² = 918492232658, which contains 22 as substring.

677677 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 663 + ... + 1339.

It is an arithmetic number, because the mean of its divisors is an integer number (56952).

2⁶⁷⁷⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

677677 is a deficient number, since it is larger than the sum of its proper divisors (233555).

677677 is a wasteful number, since it uses less digits than its factorization.

677677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708.

The product of its digits is 86436, while the sum is 40.

The square root of 677677 is about 823.2113944790. The cubic root of 677677 is about 87.8363435588.

Subtracting 677677 from its reverse (776776), we obtain a palindrome (99099).

It can be divided in two parts, 67 and 7677, that added together give a square (7744 = 88²).

The spelling of 677677 in words is "six hundred seventy-seven thousand, six hundred seventy-seven".