677767776 has 96 divisors (see below), whose sum is σ = 2088334080. Its totient is φ = 188407296.

The previous prime is 677767771. The next prime is 677767789.

677767776 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677767771) 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 15 ways as a sum of consecutive naturals, for example, 11235 + ... + 38493.

It is an arithmetic number, because the mean of its divisors is an integer number (21753480).

Almost surely, 2^677767776 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 677767776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044167040).

677767776 is an abundant number, since it is smaller than the sum of its proper divisors (1410566304).

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

677767776 is a wasteful number, since it uses less digits than its factorization.

677767776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27316 (or 27308 counting only the distinct ones).

The product of its digits is 25412184, while the sum is 60.

The square root of 677767776 is about 26033.9734961838. The cubic root of 677767776 is about 878.4026532679.

The spelling of 677767776 in words is "six hundred seventy-seven million, seven hundred sixty-seven thousand, seven hundred seventy-six".