677827665 has 48 divisors (see below), whose sum is σ = 1192922640. Its totient is φ = 356006400.

The previous prime is 677827651. The next prime is 677827673. The reversal of 677827665 is 566728776.

It can be written as a sum of positive squares in 8 ways, for example, as 259338816 + 418488849 = 16104^2 + 20457^2 .

It is not a de Polignac number, because 677827665 - 2⁷ = 677827537 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1331431 + ... + 1331939.

It is an arithmetic number, because the mean of its divisors is an integer number (24852555).

Almost surely, 2^677827665 is an apocalyptic number.

It is an amenable number.

677827665 is a deficient number, since it is larger than the sum of its proper divisors (515094975).

677827665 is a wasteful number, since it uses less digits than its factorization.

677827665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 911 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 677827665 is about 26035.1236793682. The cubic root of 677827665 is about 878.4285250138.

It can be divided in two parts, 6778 and 27665, that added together give a palindrome (34443).

The spelling of 677827665 in words is "six hundred seventy-seven million, eight hundred twenty-seven thousand, six hundred sixty-five".