5778965760 has 144 divisors (see below), whose sum is σ = 18514028736. Its totient is φ = 1536262144.

The previous prime is 5778965681. The next prime is 5778965891. The reversal of 5778965760 is 675698775.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5778965694 and 5778965703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330312 + ... + 1334648.

It is an arithmetic number, because the mean of its divisors is an integer number (128569644).

Almost surely, 2^5778965760 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 5778965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257014368).

5778965760 is an abundant number, since it is smaller than the sum of its proper divisors (12735062976).

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

5778965760 is a wasteful number, since it uses less digits than its factorization.

5778965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The square root of 5778965760 is about 76019.5090749736. The cubic root of 5778965760 is about 1794.5271794642.

The spelling of 5778965760 in words is "five billion, seven hundred seventy-eight million, nine hundred sixty-five thousand, seven hundred sixty".