768222 has 72 divisors (see below), whose sum is σ = 2116296. Its totient is φ = 199584.

The previous prime is 768221. The next prime is 768241. The reversal of 768222 is 222867.

It is a super-3 number, since 3×768222³ = 1360133305035831144, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768221) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 11433 + ... + 11499.

It is an arithmetic number, because the mean of its divisors is an integer number (29393).

2⁷⁶⁸²²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058148).

768222 is an abundant number, since it is smaller than the sum of its proper divisors (1348074).

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

768222 is a wasteful number, since it uses less digits than its factorization.

768222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 768222 is about 876.4827436978. The cubic root of 768222 is about 91.5859623931.

It can be divided in two parts, 768 and 222, that added together give a triangular number (990 = T₄₄).

The spelling of 768222 in words is "seven hundred sixty-eight thousand, two hundred twenty-two".