The population is primarily white, older, and mostly married couples. Plymouth is a town of Plymouth, Massachusetts in the New England region of the USA. The majority of household are owned or have a mortgage. So you are less likely to find inexpensive homes in 06782. View detailed property information with 3D Tours and real-time updates. In the most recent US census the population of Plymouth was 56468. ZIP code 06782 is located in central Connecticut and covers a slightly less than average land area compared to other ZIP codes in the United States. The percentage of children under 18 living in the 06782 ZIP code is slightly less than average compared to other areas of the country. After it shows Enter the address, city, state, province, or country into the search field above to locate a mailing address or find a package’s origin. Data sources include the United States Postal Service, U.S. Census Bureau, Yahoo, Google, FedEx, and UPS. Find MoreCities in Connecticut that start with P, Post Office Suburb:PLYMOUTH, CT, 06782-9998,