Me too....same thing. Follow up call from Blue Cross.

The number does appear to be Blue Cross Blue Shield of Florida's Automated Survey line, however they said someone from my home authorized to take a survey.  I did speak to BCBS earlier in the day but made no such authorization. I would not take the survey until I actually speak to BCBS.  Better to be safe than sorry.  Too many others are reporting this number for other reasons.  
Also alot of scams happen on the phone they pick a large business and use its name for the purpose of scamming many victims.

It's Blue Cross Blue Shield of Florida's automated survey line. That's why it just calls and calls and calls. Try picking it up and then hanging up. or take the survey.

Got three calls from 877-250-9880 on my cell yesterday afternoon:  5:04, 5:19, 5:34 pm.  Didn't answer, no message left, caller ID just lists the phone number, but no company name.  I did, however, speak with Blue Cross/Blue Shield earlier in the day, and based on what a previous poster said, I wonder if it wasn't a follow up survey.

I don't know who these F'ing 877-250-9880 people are but they called 3 times from 5:45AM - 6:16AM.

The first call was at 5:45AM, the phone rang 3 times then they hung up. The second call came in at 6:01AM they let it ring 2 times and hung up. The third was at 6:16AM and it also rang 2 times and nothing.

I did not pick up any of those times. The way I see it, if your real name or company doesn't show on my phone, why should I pick up?! They appear on the Caller ID as, "800 Service".

Finally picked it up on the third call and it was an automated survery following up on a live call I had that day with Blue Cross Blue Shield. This may be a company that does the surveys FOR companies like BSBS, but that was my finding.

Two calls this evening, hangs up before I can even answer (or so it seems). No message left

Calls and hangs up.

Calls repeatedly and hangs up.

got 3 calls this afternoon. Did not answer them. No message left