77226 has 16 divisors (see below), whose sum is σ = 157728. Its totient is φ = 25200.

The previous prime is 77213. The next prime is 77237. The reversal of 77226 is 62277.

77226 is nontrivially palindromic in base 14.

77226 is an undulating number in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 77196 and 77205.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77226.

It is an unprimeable number.

77226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (9858).

2⁷⁷²²⁶ is an apocalyptic number.

77226 is an abundant number, since it is smaller than the sum of its proper divisors (80502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78864).

77226 is a wasteful number, since it uses less digits than its factorization.

77226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its digits is 1176, while the sum is 24.

The square root of 77226 is about 277.8956638741. The cubic root of 77226 is about 42.5847903560.

It can be divided in two parts, 77 and 226, that added together give a palindrome (303).

The spelling of 77226 in words is "seventy-seven thousand, two hundred twenty-six".