You are right that there are two public tickers for Alphabet, GOOG and GOOGL, however the market cap you see when you search for their ticker is for the whole company, not the class alone.
Also, Alphabet has 3 classes of shares. A (GOOGL), B (privately held), and C (GOOG)
I assure you, the market cap is roughly $870B as of this writing.
You are right that there are two public tickers for Alphabet, GOOG and GOOGL, however the market cap you see when you search for their ticker is for the whole company, not the class alone.
Also, Alphabet has 3 classes of shares. A (GOOGL), B (privately held), and C (GOOG)
I assure you, the market cap is roughly $870B as of this writing.