This number is a prime.
The only three-digit iccanobiF prime.
The largest three-digit unholey prime.
The number 3 followed by 773 7's is prime. [De Geest]
This prime is the sum of the number of 3-dimensional faces in one each of the 6 regular 4-dimensional polytopes: 5 + 8 + 16 + 24 + 120 + 600 = 773. (Equivalently, this prime is the sum of the number of vertices, i.e., 0-dimensional faces, in one each of the 6 regular 4-dimensional polytopes.) [Post]
The smallest odd number n where n + 2k is composite for all k < n. [Gudipati]
The only 3-digit prime p such that p +/- 666 are emirps. [Loungrides]
In binary 11011 + 2, 110011 + 2, 1100011 + 2, 11000011 + 2, 110000011 + 2 and 1100000011 + 2 are all prime, this one being the largest. Note that all the primes are full reptend primes in binary. [Homewood]