5780768 has 48 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 2446080.

The previous prime is 5780759. The next prime is 5780771. The reversal of 5780768 is 8670875.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29246 + ... + 29442.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 2^5780768 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 5780768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

5780768 is an abundant number, since it is smaller than the sum of its proper divisors (7391776).

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

5780768 is a wasteful number, since it uses less digits than its factorization.

5780768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 5780768 is about 2404.3227736725. The cubic root of 5780768 is about 179.4713708372.

It can be divided in two parts, 57807 and 68, that added together give a palindrome (57875).

The spelling of 5780768 in words is "five million, seven hundred eighty thousand, seven hundred sixty-eight".