1777383856768 has 128 divisors (see below), whose sum is σ = 3867625616400. Its totient is φ = 808705228800.

The previous prime is 1777383856679. The next prime is 1777383856769. The reversal of 1777383856768 is 8676583837771.

It can be written as a sum of positive squares in 8 ways, for example, as 987574837824 + 789809018944 = 993768^2 + 888712^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1777383856694 and 1777383856703.

It is not an unprimeable number, because it can be changed into a prime (1777383856769) 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, 39136218 + ... + 39181606.

Almost surely, 2^{1777383856768} 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 1777383856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933812808200).

1777383856768 is an abundant number, since it is smaller than the sum of its proper divisors (2090241759632).

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

1777383856768 is a wasteful number, since it uses less digits than its factorization.

1777383856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45750 (or 45738 counting only the distinct ones).

The product of its digits is 1991485440, while the sum is 76.

The spelling of 1777383856768 in words is "one trillion, seven hundred seventy-seven billion, three hundred eighty-three million, eight hundred fifty-six thousand, seven hundred sixty-eight".