When I started out I worked at a call center(A tech support center). When I interviewed there, I went in through a hiring consultant. I met a girl there who had failed in interviews in like some 40 companies and then finally got hired in our batch. From what I know she went on to do some amazing things. This always brings me some perspective on the merits or acceptance or rejection in any process.
Getting rejected any number times means nothing at all. People interviewing candidates are no better than the candidate, and in many cases not even as good as the candidate. Even if they were better it wouldn't matter, 1 hour is barely any time to judge any one and any decision you are likely to make even a 'yes' decision will never be 100% right. Even a hire decision doesn't mean you are awesome.
Plus a person measuring their worth based on job interviews is totally wrong. We like to think that people wish to hire people at least as good as them, if not better. In reality no one likes people better than them, and they'd rather not have some one better than them at work. They will be hiring competition responsible for them not getting raises, bonuses, promotions or RSU's. You are more likely to get rejected being good than bad.
If I've learned anything at all its the Clinton principle How many chances does one get? As much as one is willing to take
Pretty much any rejection any where means nothing. I'm not saying one must not take them seriously enough to improve oneself. But there is not need to get depressed or under evaluating yourself.
Just be chipping away at a good system of improving yourself in never ending cycles.