5777797968 has 120 divisors (see below), whose sum is σ = 16603535520. Its totient is φ = 1874845440.

The previous prime is 5777797967. The next prime is 5777797981. The reversal of 5777797968 is 8697977775.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5777797896 and 5777797905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5777797967) 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 23 ways as a sum of consecutive naturals, for example, 996903 + ... + 1002681.

It is an arithmetic number, because the mean of its divisors is an integer number (138362796).

Almost surely, 2^5777797968 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 5777797968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301767760).

5777797968 is an abundant number, since it is smaller than the sum of its proper divisors (10825737552).

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

5777797968 is a wasteful number, since it uses less digits than its factorization.

5777797968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5968 counting only the distinct ones).

The product of its digits is 326728080, while the sum is 72.

The square root of 5777797968 is about 76011.8278164655. The cubic root of 5777797968 is about 1794.4062941855.

The spelling of 5777797968 in words is "five billion, seven hundred seventy-seven million, seven hundred ninety-seven thousand, nine hundred sixty-eight".