753000260 has 48 divisors (see below), whose sum is σ = 1630465200. Its totient is φ = 291932160.

The previous prime is 753000221. The next prime is 753000263. The reversal of 753000260 is 62000357.

It can be written as a sum of positive squares in 8 ways, for example, as 200562244 + 552438016 = 14162^2 + 23504^2 .

It is not an unprimeable number, because it can be changed into a prime (753000263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125816 + ... + 131664.

It is an arithmetic number, because the mean of its divisors is an integer number (33968025).

Almost surely, 2^753000260 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 753000260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815232600).

753000260 is an abundant number, since it is smaller than the sum of its proper divisors (877464940).

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

753000260 is a wasteful number, since it uses less digits than its factorization.

753000260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 753000260 is about 27440.8502054874. The cubic root of 753000260 is about 909.7702032163.

The spelling of 753000260 in words is "seven hundred fifty-three million, two hundred sixty", and thus it is an aban number.