768888 has 48 divisors (see below), whose sum is σ = 2129400. Its totient is φ = 250560.

The previous prime is 768881. The next prime is 768923. The reversal of 768888 is 888867.

768888 is a modest number, since divided by 888 gives 768 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768881) by changing a digit.

768888 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 11 ways as a sum of consecutive naturals, for example, 4158 + ... + 4338.

2⁷⁶⁸⁸⁸⁸ 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 768888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064700).

768888 is an abundant number, since it is smaller than the sum of its proper divisors (1360512).

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

768888 is a wasteful number, since it uses less digits than its factorization.

768888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 768888 is about 876.8625890070. The cubic root of 768888 is about 91.6124211654.

It can be divided in two parts, 7688 and 88, that added together give a 5-th power (7776 = 6⁵).

The spelling of 768888 in words is "seven hundred sixty-eight thousand, eight hundred eighty-eight".