Insurance premiums are going up each year because of my credit score

I recently received my automobile insurance bill and home owners bill from the Hartford insurance company. I have been with this company for 4 or 5 years now.
Each year my insurance keeps increasing and they say it is due to my credit, they claim that I need 40 years of credit history. There are to many people looking at my account, to many credit cards, etc.
I have one credit card, one car payment and one mortgage payment. My wife and I have a large money market account and a large IRA fund built up. We pay an additional $300 dollars per month to the principal on our mortgage.
I have never heard of such garbage.
My credit is impeccable, I have never declared bankruptcy and my credit score last time I checked was 780. I am told that is a good score.
I actually purchased this insurance through AARP, so assumed it was an honest company, now I think the reason my rates keep going up are because of my age.
I am 67 years old, I am sure the company would not want to fall into an age discrimination law suit if they told me the truth.
I have never collected on either policy, have never had an accident or any tickets.
Should I start looking for another insurance company or is this something that there is an answer for to reduce my insurance premiums?
It certainly is not my credit that is making my premiums rise.
I wish to thank you in advance for your response.
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That sounds like you are right spot on.
I do not see that I could help any further as you know what is going on.

i would suggest maybe talking to the bbb or ftc or even your state attorney general about untruthfulness.
there has to be some accountability here. So put their feet to the fire if you can.