Zip Code 77523 Television. 77523 is located in the state of Texas in the Houston metro area. Zip code 77523 is primarily located in Chambers County. Portions of 77523 are also located in Harris County.The official postal service name used for 77523 is BAYTOWN, Texas. Portions of the 77523 zip code are contained within or border the city limits of Mont Belvieu, TX, Baytown, TX, Beach City, TX, Anahuac, TX, Cove, TX, and Old River-Winfree, TX.ip Code 77523 Television. 77523 is located in the state of Texas in the Houston metro area. Zip code 77523 is primarily located in Chambers County. Portions of 77523 are also located in Harris County.