77610401677 has 16 divisors (see below), whose sum is σ = 82213401600. Its totient is φ = 73059850800.

The previous prime is 77610401669. The next prime is 77610401711.

77610401677 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 77610401677 - 2³ = 77610401669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77610401657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4926988 + ... + 4942714.

It is an arithmetic number, because the mean of its divisors is an integer number (5138337600).

Almost surely, 2^77610401677 is an apocalyptic number.

It is an amenable number.

77610401677 is a deficient number, since it is larger than the sum of its proper divisors (4602999923).

77610401677 is a wasteful number, since it uses less digits than its factorization.

77610401677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376.

The product of its (nonzero) digits is 345744, while the sum is 46.

The spelling of 77610401677 in words is "seventy-seven billion, six hundred ten million, four hundred one thousand, six hundred seventy-seven".