767228 has 48 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 287040.

The previous prime is 767203. The next prime is 767243. The reversal of 767228 is 822767.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 767194 and 767203.

It is a congruent number.

It is an unprimeable number.

767228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14450 + ... + 14502.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2⁷⁶⁷²²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 767228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

767228 is an abundant number, since it is smaller than the sum of its proper divisors (974596).

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

767228 is a wasteful number, since it uses less digits than its factorization.

767228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 767228 is about 875.9155210407. The cubic root of 767228 is about 91.5464444158.

It can be divided in two parts, 7 and 67228, that multiplied together give a square (470596 = 686²).

The spelling of 767228 in words is "seven hundred sixty-seven thousand, two hundred twenty-eight".