677867768776 has 64 divisors (see below), whose sum is σ = 1409394945600. Its totient is φ = 303080448000.

The previous prime is 677867768749. The next prime is 677867768779.

It is a happy number.

677867768776 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 677867768776.

It is not an unprimeable number, because it can be changed into a prime (677867768779) 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, 1287351 + ... + 1735801.

It is an arithmetic number, because the mean of its divisors is an integer number (22021796025).

Almost surely, 2^677867768776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677867768776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704697472800).

677867768776 is an abundant number, since it is smaller than the sum of its proper divisors (731527176824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

677867768776 is a wasteful number, since it uses less digits than its factorization.

677867768776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448750 (or 448746 counting only the distinct ones).

The product of its digits is 9758278656, while the sum is 82.

The spelling of 677867768776 in words is "six hundred seventy-seven billion, eight hundred sixty-seven million, seven hundred sixty-eight thousand, seven hundred seventy-six".