DCCLXII

DCCLXII is the Roman numeral for the integer 762. It is formed by D (500) + CC (200) + LX (60) + II (2). The numeral uses additive notation, with no subtractive pairs in this representation.

In mathematics, 762 is an even composite number with prime factorization 2 × 3 × 127. Its eight divisors are 1, 2, 3, 6, 127, 254, 381, and 762. The sum of its proper divisors is 774, which makes 762 an abundant number.

In other base systems, 762 is 1011111010 in binary and 0x2FA in hexadecimal. These representations reflect the same value in different numeral frameworks.

Historically, the year 762 CE is notable for the founding of Baghdad by the Abbasid Caliph al-Mansur, who established it as the capital of the Abbasid Caliphate on the banks of the Tigris. Baghdad soon grew into a major center of culture, science, and commerce during the medieval Islamic world.

As a Roman numeral, DCCLXII can appear in historical records, inscriptions, or scholarly works to denote the year 762 or the quantity it represents. Its use exemplifies the additive style of late classical Latin numeral notation.