In before "no one can answer this without knowing your entire financial situation, investment diversification, retirement goals, appetite for risk, long term job aspects, life insurance situation, proclivities to sunburn, dislike for insects, and what your dreams are like, and you need to hhire a professional financial planner before determining this on your own, because you WILL be wrong."
Remember when you sell your equities - that will be a taxable event and you will pay taxes on gains, so pick which equities you wish to sell based on that.
How much you put down is relative to your goals - would you rather pay off your house ASAP or keep as much money invested as possible for the duration of your home loan?
If you have a good track record, I'd focus on putting 20% down and keeping the rest to work for you. Or, consider paying yourself a lower salary to limit your tax exposure, and paying as much as you can down, if being debt free is part of your strategy.