768528 has 50 divisors (see below), whose sum is σ = 2228094. Its totient is φ = 255744.

The previous prime is 768503. The next prime is 768541. The reversal of 768528 is 825867.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 82944 = 828^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 768492 and 768501.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1000 + ... + 1592.

2⁷⁶⁸⁵²⁸ 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 768528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114047).

768528 is an abundant number, since it is smaller than the sum of its proper divisors (1459566).

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

768528 is a wasteful number, since it uses less digits than its factorization.

768528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 768528 is about 876.6572876558. The cubic root of 768528 is about 91.5981210245.

It can be divided in two parts, 768 and 528, that multiplied together give a palindrome (405504).

The spelling of 768528 in words is "seven hundred sixty-eight thousand, five hundred twenty-eight".