We prove a formula, which, given principally polarized abelian variety $(A,\lambda)$ over the field of algebraic numbers, relates stable Faltings height $A$ with N\'eron--Tate symmetric theta divisor on $A$. Our formula completes earlier results due to Bost, Hindry, Autissier and Wagener. The local non-archimedean terms in our can be expressed as tropical moments tropicalizations $(A,\lambda)$.