5766768 has 80 divisors (see below), whose sum is σ = 18927360. Its totient is φ = 1646784.

The previous prime is 5766749. The next prime is 5766779. The reversal of 5766768 is 8676675.

5766768 is a `hidden beast` number, since 576 + 6 + 76 + 8 = 666.

It is a super-2 number, since 2×5766768² = 66511226331648, which contains 22 as substring.

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, 2071 + ... + 3977.

It is an arithmetic number, because the mean of its divisors is an integer number (236592).

Almost surely, 2^5766768 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 5766768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463680).

5766768 is an abundant number, since it is smaller than the sum of its proper divisors (13160592).

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

5766768 is a wasteful number, since it uses less digits than its factorization.

5766768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 5766768 is about 2401.4095860557. The cubic root of 5766768 is about 179.3263710562.

The spelling of 5766768 in words is "five million, seven hundred sixty-six thousand, seven hundred sixty-eight".