USCIS says it’s 85,000 a year. (65k “general” + 20k “advanced degree”.)
http://www.uscis.gov/news/uscis-reaches-fy-2015-h-1b-cap-0
That’s still too many under present circumstances...
http://www.uscis.gov/sites/default/files/USCIS/Resources/Reports%20and%20Studies/H-1B/h-1B-characteristics-report-14.pdf