I'm not a tax expert on managing that sum of money. But I think I could give it a good try. First of all, you can elect to take the $700 million over 20 years I believe. I would do that. Than, with that money you can easily afford a high quality business manager and lawyer.
Not sure exactly how it would be set up but you can do something like an S-corp that in turns owns LLCs or maybe corporations. Within that framework you start buying businesses by pouring in money to generate upfront losses that you can deduct, but which generate revenue streams in the future. For example, start a restaurant by buying and renovating that. Thanks to accelerated depreciation you can take it all as an expense. Hire a great kitchen staff with upfront signing bonuses and lots of fringe benefits. Or think of starting a upscale gym. Buy property and pay upfront to put in a pool with hydroworx treadmills and other gadgets.
In any case the idea is to perpetually defer income taxes by creating losses now but revenue in the future. The tricky thing is that gambling winnings itself has to be reported on your income tax return. There is no way around it. So you have to be able to get those business losses on your individual return. But I believe that can be done.
For more normal wealthy people deferring income is easier because usually they have their wealth in a corporations which they don't owe taxes on unless they "realize" that wealth. Zuckerberg is a prime example. He had to pay taxes on billions of income for a couple of years because he exercised stock options or got unrestricted stock. But in years when that doesn't happen he could just as easily not pay any taxes at all even though he is billions of dollars wealthier. The great thing about it is that he largely controls when and how he pays taxes.