768132 has 36 divisors (see below), whose sum is σ = 2045680. Its totient is φ = 242352.

The previous prime is 768127. The next prime is 768133. The reversal of 768132 is 231867.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 768096 and 768105.

It is not an unprimeable number, because it can be changed into a prime (768133) by changing a digit.

768132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 1245.

2⁷⁶⁸¹³² 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 768132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022840).

768132 is an abundant number, since it is smaller than the sum of its proper divisors (1277548).

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

768132 is a wasteful number, since it uses less digits than its factorization.

768132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1147 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 768132 is about 876.4314006241. The cubic root of 768132 is about 91.5823857107.

Adding to 768132 its reverse (231867), we get a palindrome (999999).

It can be divided in two parts, 768 and 132, that added together give a square (900 = 30²).

The spelling of 768132 in words is "seven hundred sixty-eight thousand, one hundred thirty-two".