753768 has 72 divisors (see below), whose sum is σ = 2228850. Its totient is φ = 229824.

The previous prime is 753751. The next prime is 753773. The reversal of 753768 is 867357.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 116964 = 798^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

753768 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 (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25978 + ... + 26006.

2⁷⁵³⁷⁶⁸ 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 753768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114425).

753768 is an abundant number, since it is smaller than the sum of its proper divisors (1475082).

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

753768 is a wasteful number, since it uses less digits than its factorization.

753768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

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

The square root of 753768 is about 868.1981340685. The cubic root of 753768 is about 91.0079291082.

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

The spelling of 753768 in words is "seven hundred fifty-three thousand, seven hundred sixty-eight".