**768**
**Definition:**
768 is a natural number following 767 and preceding 769. It is an even composite number with various mathematical and historical significances.
**Article**
### Mathematical Properties
768 is an even number and can be factored into prime numbers as 2^8 × 3. It has a total of 18 divisors, including 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, and 768. The number is notable for being a multiple of 256, which is a power of two commonly used in computing.
### Historical and Cultural Significance
In history, the year 768 AD marked the beginning of the reign of Charlemagne as King of the Franks, a significant figure in European history. The number 768 is also used in digital technology, often appearing in screen resolutions such as 1024×768 pixels, a standard display size in computer monitors.
### Usage in Computing
768 is frequently encountered in computing contexts due to its binary-friendly factorization. It is used in memory addressing and graphics, where powers of two and their multiples optimize performance and compatibility.
**Meta Description:**
768 is an even composite number with mathematical significance and historical relevance, notably linked to Charlemagne’s reign and common computing applications.