830

830 is the natural number that comes after 829 and before 831. In mathematics, 830 is an even, composite number with prime factorization 2 × 5 × 83. It has eight divisors: 1, 2, 5, 10, 83, 166, 415, and 830. The digit sum is 11, so it is not divisible by 3. In other numeral systems, 830 is represented as 1100111110 in binary and as 0x33E in hexadecimal. In Roman numerals, 830 is written as DCCCXXX.

In the calendar, the year 830 CE falls in the early medieval period. During this era, European political structures were transitioning, with ongoing interactions among emerging kingdoms and principalities in the Frankish realms, Byzantium, and neighboring regions. Contemporary records from this period are fragmentary and regional in nature, but it is regarded as a time of fragmentation and varied development across Eurasia and the Mediterranean.

In modern usage and infrastructure, 830 is known as a telephone area code in the North American Numbering Plan. Area code 830 serves parts of Texas, covering regions in the Hill Country and surrounding areas. It was created to accommodate growing demand for telephone numbers in central and south-central Texas and is used for dialing within the United States.

Other uses of the number 830 appear in numeracy, engineering, and various cataloging systems, where it may serve as an identifier or model number. As a numerical value, 830 is a conventional reference point in arithmetic, geometry, and computational contexts, with properties and representations that recur in different mathematical frameworks.