677755777761 has 24 divisors (see below), whose sum is σ = 1015925156064. Its totient is φ = 451531856160.

The previous prime is 677755777697. The next prime is 677755777763. The reversal of 677755777761 is 167777557776.

677755777761 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 557 + 7 + 7 + 7 + 61 = 666.

It is not a de Polignac number, because 677755777761 - 2⁶ = 677755777697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 677755777761.

It is not an unprimeable number, because it can be changed into a prime (677755777763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581751 + ... + 1301516.

It is an arithmetic number, because the mean of its divisors is an integer number (42330214836).

Almost surely, 2^677755777761 is an apocalyptic number.

It is an amenable number.

677755777761 is a deficient number, since it is larger than the sum of its proper divisors (338169378303).

677755777761 is a wasteful number, since it uses less digits than its factorization.

677755777761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884763 (or 1884751 counting only the distinct ones).

The product of its digits is 741188700, while the sum is 72.

The spelling of 677755777761 in words is "six hundred seventy-seven billion, seven hundred fifty-five million, seven hundred seventy-seven thousand, seven hundred sixty-one".