753800768 has 84 divisors (see below), whose sum is σ = 1745284800. Its totient is φ = 316432896.

The previous prime is 753800767. The next prime is 753800779. The reversal of 753800768 is 867008357.

It is not an unprimeable number, because it can be changed into a prime (753800767) 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, 1258133 + ... + 1258731.

It is an arithmetic number, because the mean of its divisors is an integer number (20777200).

Almost surely, 2^753800768 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 753800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872642400).

753800768 is an abundant number, since it is smaller than the sum of its proper divisors (991484032).

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

753800768 is an equidigital number, since it uses as much as digits as its factorization.

753800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 753800768 is about 27455.4323950653. The cubic root of 753800768 is about 910.0924786263.

The spelling of 753800768 in words is "seven hundred fifty-three million, eight hundred thousand, seven hundred sixty-eight".