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KIC 7760680 is so far the richest slowly pulsating B star, by exhibiting 36consecutive dipole ($\ell=1$) gravity (g-) modes. The monotonically decreasingperiod spacing of the series, in addition to the local dips in the patternconfirm that KIC 7760680 is a moderate rotator, with clear mode trapping inchemically inhomogeneous layers. We employ the traditional approximation ofrotation to incorporate rotational effects on g-mode frequencies. Our detailedforward asteroseismic modelling of this g-mode series reveals that KIC 7760680is a moderately rotating B star with mass $\sim3.25$ M$_\odot$. Bysimultaneously matching the slope of the period spacing, and the number ofmodes in the observed frequency range, we deduce that the equatorial rotationfrequency of KIC 7760680 is 0.4805 day$^{-1}$, which is 26\% of its Roche breakup frequency. The relative deviation of the model frequencies and thoseobserved is less than one percent. We succeed to tightly constrain theexponentially-decaying convective core overshooting parameter to $f_{\rmov}\approx0.024\pm0.001$. This means that convective core overshooting cancoexist with moderate rotation. Moreover, models with exponentially-decayingovershoot from the core outperform those with the classical step-functionovershoot. The best value for extra diffusive mixing in the radiatively stableenvelope is confined to $\log D_{\rm ext}\approx0.75\pm0.25$ (with $D_{\rmext}$ in cm$^2$ sec$^{-1}$), which is notably smaller than theoreticalpredictions.

Sub-Inertial Gravity Modes in the B8V Star KIC 7760680 Reveal Moderate Core Overshooting and Low Vertical Diffusive Mixing