768753 has 12 divisors (see below), whose sum is σ = 1118260. Its totient is φ = 508896.

The previous prime is 768751. The next prime is 768767. The reversal of 768753 is 357867.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 178929 = 768^2 + 423^2 .

It is not a de Polignac number, because 768753 - 2¹ = 768751 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768751) by changing a digit.

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, 1875 + ... + 2247.

2⁷⁶⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

768753 is a deficient number, since it is larger than the sum of its proper divisors (349507).

768753 is a wasteful number, since it uses less digits than its factorization.

768753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 605 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 768753 is about 876.7856066337. The cubic root of 768753 is about 91.6070591357.

It can be divided in two parts, 768 and 753, that added together give a square (1521 = 39²).

The spelling of 768753 in words is "seven hundred sixty-eight thousand, seven hundred fifty-three".