6077767761 has 48 divisors (see below), whose sum is σ = 9539594064. Its totient is φ = 3706601472.

The previous prime is 6077767721. The next prime is 6077767781. The reversal of 6077767761 is 1677677706.

It can be written as a sum of positive squares in 8 ways, for example, as 2412676161 + 3665091600 = 49119^2 + 60540^2 .

It is not a de Polignac number, because 6077767761 - 2³⁰ = 5004025937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6077767698 and 6077767707.

It is not an unprimeable number, because it can be changed into a prime (6077767721) by changing a digit.

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, 10533105 + ... + 10533681.

It is an arithmetic number, because the mean of its divisors is an integer number (198741543).

Almost surely, 2^6077767761 is an apocalyptic number.

It is an amenable number.

6077767761 is a deficient number, since it is larger than the sum of its proper divisors (3461826303).

6077767761 is a wasteful number, since it uses less digits than its factorization.

6077767761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 3630312, while the sum is 54.

The square root of 6077767761 is about 77960.0395138432. The cubic root of 6077767761 is about 1824.9376608218.

The spelling of 6077767761 in words is "six billion, seventy-seven million, seven hundred sixty-seven thousand, seven hundred sixty-one".