877

This number is a prime.

The smallest multidigit prime Bell number. [Luhn]

877 is the first prime in the sequence 87, 877, 8777, 87777 studied by M. Kamada. [Andrew]

The largest prime number of lines in a Rhapsody of Homer's Iliad, i.e., (Beta Rhapsody). [Loungrides]

The largest 3-digit prime such that 2*3*5*7*11*19*29*37*47*67*103*179*191*223*271*293*317*577*643*673*809*863*877+1 is prime of form 2*3*5*7*11*19*…*a(n-1)* a(n)+1, where n, a(n) and 2*3*5*7*11*19*…*a(n-1)* a(n)+1 are prime, a(n)>a(n-1) and a(n) is minimal. [Loungrides]

The sum of digits of 877 divided by the sum of digits of its prime index, 151, equals 22/7, the traditional approximation of π. Note that 151 is also a prime. [Gaydos]

Largest known prime p such that p divides the Bernoulli number B(p-9). [Luen]

The smallest near-repdigit prime p, where π(p) is also a near-repdigit prime. [Worrom]

877 is a special toll-free phone prefix used across North America. [Fee]