Fait mathématique: 2782 is the maximum value of n so that there exist 4 denominations of stamps so that every postage from 1 to n can be paid for with at most 19 stamps.
Culture générale: 2782 is an unremarkable number.
Date historique: August 13th is the day in 1954 that Radio Pakistan broadcasts the "Qaumī Tarāna", the national anthem of Pakistan for the first time.