753268900 has 36 divisors (see below), whose sum is σ = 1642933908. Its totient is φ = 299770240.

The previous prime is 753268897. The next prime is 753268909. The reversal of 753268900 is 9862357.

It can be written as a sum of positive squares in 6 ways, for example, as 25240576 + 728028324 = 5024^2 + 26982^2 .

It is not an unprimeable number, because it can be changed into a prime (753268909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582 + ... + 38818.

It is an arithmetic number, because the mean of its divisors is an integer number (45637053).

Almost surely, 2^753268900 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 753268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821466954).

753268900 is an abundant number, since it is smaller than the sum of its proper divisors (889665008).

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

753268900 is a wasteful number, since it uses less digits than its factorization.

753268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38448 (or 38441 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 753268900 is about 27445.7446610581. The cubic root of 753268900 is about 909.8783800754.

The spelling of 753268900 in words is "seven hundred fifty-three million, two hundred sixty-eight thousand, nine hundred".