Googling [anagram] you'll notice a weird suggestion: "Did you mean: nag a ram". Obviously, "nag a ram" is an anagram of the word "anagram". "An anagram is a type of word play, the result of rearranging the letters of a word or phrase to produce a new word or phrase, using all the original letters exactly once," according to Wikipedia.
Google can't find the anagrams of a word, but you can use WolframAlpha to find them. This isn't the first Google Easter egg that helps you understand a query: [ASCII art] and [recursion] are two other examples.