Salient excepts from US Code title 26 § 877:
Expatriation to Avoid Tax:
This section shall apply to any individual if-
(A) the average annual net income tax ... is greater than $124,000
(B) the net worth of the individual as of such date is $2,000,000 or more
A nonresident alien individual described in subsection (a) shall be taxable for the taxable year...
Think that 1) you'll have a net worth of more than US $2M and 2) that the world will have better opportunities than the US? You should consider dropping citizenship before you hit the $2M mark, as you'll be liable for US tax over the next 10 years (currently). Keep in mind that countries typically have a 3-7 year holding period before you can become a citizen (real countries, not tax havens).