768828 has 24 divisors (see below), whose sum is σ = 1818880. Its totient is φ = 252720.

The previous prime is 768811. The next prime is 768841. The reversal of 768828 is 828867.

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 768828.

It is an unprimeable number.

768828 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 7 ways as a sum of consecutive naturals, for example, 543 + ... + 1353.

2⁷⁶⁸⁸²⁸ is an apocalyptic number.

It is an amenable number.

768828 is an abundant number, since it is smaller than the sum of its proper divisors (1050052).

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

768828 is a wasteful number, since it uses less digits than its factorization.

768828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 895 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 768828 is about 876.8283754533. The cubic root of 768828 is about 91.6100381186.

Adding to 768828 its sum of digits (39), we get a palindrome (768867).

It can be divided in two parts, 768 and 828, that added together give a triangular number (1596 = T₅₆).

The spelling of 768828 in words is "seven hundred sixty-eight thousand, eight hundred twenty-eight".