The complement of this graph is the Kneser graph $\mathrm{K}(40,2)$.
| Number of vertices: | $780$ |
| Diameter: | $2$ |
| Intersection array: | $\{76,37;1,4\}$ |
| Spectrum: | $76^1 36^{39} (-2)^{740}$ |
| Automorphism group: | $\mathrm{S}_{40}$ |
| Distance-transitive: | Yes |
| Primitive |