677889 has 10 divisors (see below), whose sum is σ = 1012770. Its totient is φ = 451872.

The previous prime is 677857. The next prime is 677891. The reversal of 677889 is 988776.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 50625 = 792^2 + 225^2 .

It is not a de Polignac number, because 677889 - 2⁵ = 677857 is a prime.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (675889) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4104 + ... + 4265.

It is an arithmetic number, because the mean of its divisors is an integer number (101277).

It is a Proth number, since it is equal to 331 ⋅ 2¹¹ + 1 and 331 < 2¹¹.

2⁶⁷⁷⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

677889 is a deficient number, since it is larger than the sum of its proper divisors (334881).

677889 is an equidigital number, since it uses as much as digits as its factorization.

677889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381 (or 8372 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 677889 is about 823.3401484198. The cubic root of 677889 is about 87.8455019845.

The spelling of 677889 in words is "six hundred seventy-seven thousand, eight hundred eighty-nine".