Perhaps more interesting is that Elastic, the company behind Elasticsearch, just IPO'ed on NYSE, and they, too, have a fully distributed team of over 700 -- might even be trending toward 1000 by now. Zapier is another one at multi-hundred-person scale, and is a YC company. A couple other scaled-up ones on this model include Automattic (company behind Wordpress), DataStax (company behind Cassandra).
There is also Wikimedia, Canonical, and Mozilla -- perhaps those 3 are less interesting since they have a non-profit mission tied to the internet-as-community and FOSS.
It's worth mentioning that when I started my startup back in 2009 as a fully distributed team, VCs viewed that as a major -1 strike against the company. So much so that we chose not to mention it during initial pitches. We ended up finding Series A/B financing, and these days, those investors ask us to advise companies on how fully distributed teams work, so new portfolio companies can decide for themselves. They were early believers in the model, but they tell me they have noticed a major change in attitude among fellow VCs toward distributed teams. That is, they understand the tradeoffs (finally), and believe the model can scale.
We now have a fully distributed staff of 70, over 400 customers, and millions in revenue. So 1/10 InVision scale, but it works well (and nicely!) at this scale. These days we also have an NYC office, but we refer to it as "the Internet cafe", about 20 of our 70 people "so happen" to work out of there regularly, with everyone else in home offices or co-working spaces. Our NYC office is also used for team gatherings, client events/visits, and board meetings.
I wrote my initial views on the different scaling models for teams here in 2012:
https://amontalenti.com/2012/05/14/distributed-teams
Also wrote a little about how the fully distributed team needs to be complemented, from time to time, with f2f interaction. This was in 2016 after several years of experience scaling hiring and organizing team retreats -- "Fully Remote, But Here For Each Other":
https://blog.parse.ly/post/4736/mission/