As an Indian male with a technical background you are coming from a very difficult demographic as I'm sure you know, and it's one that tends to have very high GMAT scores as well. Among your demographic, product manager in a tech firm is also an extremely common goal (the #1 or #2 most popular option) so given all of this it will be imperative that you show the adcom why they should admit YOU vs. all the competition.
Given that, I'd aim for schools where you are ~30 points above the average GMAT score. You are also on the older end for full time programs, but right on target for part-time programs, so it's good that you are targeting those for the US. (I assume you mean you are applying to the part time program for all 3 US schools that you mentioned). Haas will be a solid reach, even for the PT program, but you'll be solidly competitive for USC & UCLA (with UCLA being a bit tougher to get into than USC).
In terms of the other schools you named, you've got a mix of competitive & reach schools -- those where you are ~30 points above the average GMAT will be places where you are competitive & those who have scores more in the 680 range will be reaches.
That said, GMAT is just one part of the puzzle & it will also be critical to illustrate a unique value proposition as I said. There are a lot of factors that go into that -- your work experience & the unique accomplishments or significant impact you've shown there, your leadership experience, any ways that you break the "stereotype" of the typical technical Indian guy (e.g. via demonstration of strong people/relationship building skills, etc), your personal experiences & how those have uniquely shaped you, the REASON for your goals & why that's your passion, etc. Speaking of which, your goals are not only a critical piece of your value proposition but are also the foundation upon which your why MBA/why our school argument rests. The adcom will want to see your vision for the problems & opportunities you plan to tackle in your career & the unique impact you want to have. They'll want to know what type of product you hope to work on & WHY that's your passion. It's not enough to make an argument for the business demand, they also want to know what difference you plan to make in your career and why this is the path you want to devote your life to.
All that's to say that these applications are an art form. It's critical to stand out, but at the same time there's no formula for doing so.
If you need any help thinking through your strategy or your story feel free to reach out to us. If you email Claudia at
claudia@admissionado.com she can set you up with a free consultation with one of our MBA consultants who can take a look at your resume & give you some more detailed thoughts!