677771 has 8 divisors (see below), whose sum is σ = 708288. Its totient is φ = 648000.

The previous prime is 677767. The next prime is 677779. The reversal of 677771 is 177776.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 677771 - 2² = 677767 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677779) 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 7 ways as a sum of consecutive naturals, for example, 2366 + ... + 2636.

It is an arithmetic number, because the mean of its divisors is an integer number (88536).

2⁶⁷⁷⁷⁷¹ is an apocalyptic number.

677771 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

677771 is a deficient number, since it is larger than the sum of its proper divisors (30517).

677771 is a wasteful number, since it uses less digits than its factorization.

677771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373.

The product of its digits is 14406, while the sum is 35.

The square root of 677771 is about 823.2684859753. The cubic root of 677771 is about 87.8404046058.

It can be divided in two parts, 6 and 77771, that added together give a palindrome (77777).

The spelling of 677771 in words is "six hundred seventy-seven thousand, seven hundred seventy-one".