77228 has 12 divisors (see below), whose sum is σ = 138600. Its totient is φ = 37632.

The previous prime is 77213. The next prime is 77237. The reversal of 77228 is 82277.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77197 and 77206.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (11550).

2⁷⁷²²⁸ is an apocalyptic number.

It is an amenable number.

77228 is a deficient number, since it is larger than the sum of its proper divisors (61372).

77228 is a wasteful number, since it uses less digits than its factorization.

77228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 77228 is about 277.8992623236. The cubic root of 77228 is about 42.5851579733.

It can be divided in two parts, 7722 and 8, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 77228 in words is "seventy-seven thousand, two hundred twenty-eight".