math background for top 20 statistics phd admissions?

[Prestvana]

I just finished my junior year of college, and I want to apply to statistics phd programs this upcoming fall.

I am wondering how my math background is for phd admissions. I want to apply to top 20 programs.

The math/ stat classes I've taken so far: calculus 3, linear algebra, ODE, advanced calculus, probability theory, theory of statistics, discrete math, linear models, basic analysis in function spaces, topics in analysis (undergrad real analysis), data analysis, intro programming, intro data analysis, multivariate statistics, data mining/ machine learning

I have A's in all except a B+ in discrete math. I will be taking complex analysis in the fall.

Is it okay that I won't have taken classes like topology, abstract algebra, measure theory, stochastic processes before applying to phd programs in statistics? And do I seem competitive (math/ stat background - wise) for top 20? What about top 10? Also should I take the math gre?

If this info is relevant, my college is a top ivy school

Sorry for the numerous questions asked. I appreciate comments addressed to any of them.