5768000 has 112 divisors (see below), whose sum is σ = 16483584. Its totient is φ = 1958400.

The previous prime is 5767999. The next prime is 5768011. The reversal of 5768000 is 8675.

It is a tau number, because it is divible by the number of its divisors (112).

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, 55949 + ... + 56051.

Almost surely, 2^5768000 is an apocalyptic number.

5768000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241792).

5768000 is an abundant number, since it is smaller than the sum of its proper divisors (10715584).

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

5768000 is a wasteful number, since it uses less digits than its factorization.

5768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5768000 is about 2401.6660883645. Note that the first 3 decimals coincide. The cubic root of 5768000 is about 179.3391404479.

The spelling of 5768000 in words is "five million, seven hundred sixty-eight thousand".