Bitcoin mining is competitive and the goal is that you want to solve or “find” a block before anyone else’s miner does. Then you will get the block reward and transaction fees from the block. During the last several years we have seen an incredible amount of hashrate coming online which made it harder to have enough hashrate personally (individually) to solve a block, thus getting the payout reward. To compensate for this pool mining was developed.
How do they find this number? By guessing at random. The hash function makes it impossible to predict what the output will be. So, miners guess the mystery number and apply the hash function to the combination of that guessed number and the data in the block. The resulting hash has to start with a pre-established number of zeroes. There's no way of knowing which number will work, because two consecutive integers will give wildly varying results. What's more, there may be several nonces that produce the desired result, or there may be none (in which case the miners keep trying, but with a different block configuration).
In January 2009, the bitcoin network was created when Nakamoto mined the first block of the chain, known as the genesis block. Embedded in the coinbase of this block was the following text: "The Times 03/Jan/2009 Chancellor on brink of second bailout for banks." This note has been interpreted as both a timestamp and a comment on the instability caused by fractional-reserve banking.:18