After raising $822,640 in donations, White House officials announced yesterday that they are cutting off further contributions to the private fund they established to pay for the redecorations and restoration of President and Mrs. Reagan's living quarters in the executive mansion.

The size of the fund, which far exceeded the initial goal of $200,000, will allow for financing of additional restoration projects on the ground and state floors of the White House, according to Melvin M. Payne, chairman of the White House Historical Association.

"We are so grateful for the additional, unanticipated contributions which allow the White House Historical Association to undertake important restoration projects on the ground and state floors," Nancy Reagan said.

"The White House is America's most cherished living museum, and I am committed to maintaining its historic integrity for future generations."

White House officials said 240 donors contributed to the fund. The announcement yesterday included names of recent "major donors" of $10,000, including singer Frank Sinatra and his wife, Barbara, who were listed as Mr. and Mrs. Francis A. Sinatra.

Others on the most recent list of major donors included Albert B. Fay, a wealthy Houston oilman; Daniel Schwartz, a business associate of Sinatra; Nanci Danney, a cosmetics heiress; Mrs. Albert D. Lasker, a New York philanthropist, and Metromedia Inc., a television broadcasting company.

Payne said some projects being planned as part of the restoration include "the acquistion of additional period furnishings and works of art for the White House collection and, hopefully, the design and manufacture of a new state china service."