West Indies- 20
The West Indies might not be the force to be reckoned with, in the current era but such was their dominance in the last quarter of the 20th century that they still find themselves in this coveted list.
The Men from the Caribbean racked up their first-ever 600+ total against India in 1948 during the Delhi Test where they scored 631.
During the course of the next decades or so, the Caribbean Kings have added 19 such scores to their tally, the highest of which 3-790 which they racked up against Pakistan in 1958 thanks to the unbeaten 365 by Sir Gary Sobers.
In 20 instances of West Indies scoring more than 600 runs in Test cricket, they managed to win nine encounters while the remaining ended in a draw.