Independence was formally declared on July 2, 1776, the day that John Adams believed would be “the most memorable epocha in the history of America.” On July 4, 1776, Congress approved the final text of the Declaration. It wasn't signed until August 2, 1776.
According to the statement above: "Due to their technological innovations in structural engineering, by the first century CE, average Romans lived in heated apartment buildings with functional sewer systems.