77671417677 has 24 divisors (see below), whose sum is σ = 123271590816. Its totient is φ = 43351485408.

The previous prime is 77671417651. The next prime is 77671417687.

77671417677 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77671417677 - 2¹¹ = 77671415629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77671417677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77671417687) 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, 6137598 + ... + 6150239.

It is an arithmetic number, because the mean of its divisors is an integer number (5136316284).

Almost surely, 2^77671417677 is an apocalyptic number.

It is an amenable number.

77671417677 is a deficient number, since it is larger than the sum of its proper divisors (45600173139).

77671417677 is a wasteful number, since it uses less digits than its factorization.

77671417677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287897 (or 12287890 counting only the distinct ones).

The product of its digits is 16941456, while the sum is 60.

The spelling of 77671417677 in words is "seventy-seven billion, six hundred seventy-one million, four hundred seventeen thousand, six hundred seventy-seven".