Ron Guth: 1827 Half Dollars have the third highest mintage of the entire series, exceeded only by 1834 and 1836. However, they also contain some interesting varieties, including a 7 over 6 overdate and 2's which feature either a curled base or a flat base. The Square Base 2 is the most common of the major varieties, by a significant margin. This variety is common in all grades and can be found in Mint State with relative ease. The most common Mint State grades is MS-63, followed by MS-62, then MS-64. Gems are scarce and anything finer than MS-65 is very rare. According to the PCGS Population Report (as of June 2011), the finest 1827 Square Base 2 Half Dollar is a single MS67.
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