77645600654677 has 16 divisors (see below), whose sum is σ = 86317672458240. Its totient is φ = 69248468289600.

The previous prime is 77645600654669. The next prime is 77645600654717.

77645600654677 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 77645600654677 - 2³ = 77645600654669 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 (77645600654627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150808602 + ... + 151322587.

It is an arithmetic number, because the mean of its divisors is an integer number (5394854528640).

Almost surely, 2^{77645600654677} is an apocalyptic number.

It is an amenable number.

77645600654677 is a deficient number, since it is larger than the sum of its proper divisors (8672071803563).

77645600654677 is a wasteful number, since it uses less digits than its factorization.

77645600654677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302131644.

The product of its (nonzero) digits is 1244678400, while the sum is 70.

The spelling of 77645600654677 in words is "seventy-seven trillion, six hundred forty-five billion, six hundred million, six hundred fifty-four thousand, six hundred seventy-seven".