765288 has 40 divisors (see below), whose sum is σ = 2145330. Its totient is φ = 254880.

The previous prime is 765287. The next prime is 765293. The reversal of 765288 is 882567.

It can be written as a sum of positive squares in only one way, i.e., 492804 + 272484 = 702^2 + 522^2 .

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

It is not an unprimeable number, because it can be changed into a prime (765283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 58 + ... + 1238.

2⁷⁶⁵²⁸⁸ 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 765288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072665).

765288 is an abundant number, since it is smaller than the sum of its proper divisors (1380042).

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

765288 is a wasteful number, since it uses less digits than its factorization.

765288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

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

The square root of 765288 is about 874.8074073760. The cubic root of 765288 is about 91.4692183478.

It can be divided in two parts, 7652 and 88, that multiplied together give a palindrome (673376).

The spelling of 765288 in words is "seven hundred sixty-five thousand, two hundred eighty-eight".