In some cultures numbers are assumed have a special significance. For example, the Chinese consider the number '8' to be very lucky and auspicious, which is why the Olympic games in China began on 8/8/2008, as it was the 8th day of the 8th month of the 8th year of this millennium, and why many Chinese couples chose to get married on that particular day. In China, '7' is considered to be a slang /vulgar word in Cantonese, and biblically the Hebrews considered '7' to be 'complete, full, spiritual perfection'.
However, there is no significance as far as either Catholicism or Protestantism is concerned - it means nothing. Turning the age that coincides with the calendar day you were born is called your "champagne birthday" and is a cultural milestone. Cheers!
If it does not occur on year ending in 77, then it does not mean a thing. Post the question again in year 2077.
August 27th 1961 was a Sunday.
27th July 1951 was a Friday.
27th September 1960 was a Tuesday.
27th March 1978, was a Monday.
September 27th 2004 was a Monday.
27th June 1947 was a Friday.
27th May 1970 was a Wednesday.
27th July 1987, was a Monday.
April 27th 1971 was a Tuesday.
November 27th 1982 was a Saturday.
February 27th, 2001 was a Tuesday.
27th Feb 1975 was a Thursday.