  We reexamine the question of quantum consistency of supergravities in eight
dimensions. Theories with 16 supercharges suffer from the anomalies under the
action of its discrete modular groups. In minimally supersymmetric theory
coupled to Yang-Mills multiples of rank $l$ with the moduli space given by
$\text{SO}(2,l)/ (\text{U}(1) \times \text{SO}(l))$, the existence of a
counterterm together with the requirement that its poles and zeros correspond
to the gauge symmetry enhancement imposes nontrivial constraints on the
lattice. The counterterms needed for anomaly cancellation for all cases, that
are believed to lead to consistent theories of quantum gravity ($l = 2,10,18$),
are discussed.
