5777668782 has 48 divisors (see below), whose sum is σ = 13021706880. Its totient is φ = 1849176000.

The previous prime is 5777668777. The next prime is 5777668783. The reversal of 5777668782 is 2878667775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5777668783) 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, 63907 + ... + 125057.

It is an arithmetic number, because the mean of its divisors is an integer number (271285560).

Almost surely, 2^5777668782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5777668782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510853440).

5777668782 is an abundant number, since it is smaller than the sum of its proper divisors (7244038098).

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

5777668782 is a wasteful number, since it uses less digits than its factorization.

5777668782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61369 (or 61366 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The square root of 5777668782 is about 76010.9780360706. The cubic root of 5777668782 is about 1794.3929203534.

The spelling of 5777668782 in words is "five billion, seven hundred seventy-seven million, six hundred sixty-eight thousand, seven hundred eighty-two".