There have been at least 300,000 new infections every day in the past week, with more than 360,000 new cases in the past 24 hours on Wednesday.
Foreign aid has started to arrive from the UK and Singapore.
Mortality data in India is poor and deaths at home often go unregistered, especially in rural areas.
In Uttar Pradesh, health officials said 68 people had died on one day earlier this month across the state.
Crematoriums continue to work throughout the night to keep up with the number of bodies arriving, and many families are facing long waits before their loved ones can receive funeral rites.
In the southern city of Bengaluru, one doctor told the BBC people were panicking.
Meanwhile, the first batch of the Russian vaccine, Sputnik V, is set to arrive in India on 1 May, The New Indian Express reports.