755338900 has 72 divisors (see below), whose sum is σ = 1777995576. Its totient is φ = 277401600.

The previous prime is 755338891. The next prime is 755338907. The reversal of 755338900 is 9833557.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 404975376 + 350363524 = 20124^2 + 18718^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755338907) 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 23 ways as a sum of consecutive naturals, for example, 64282 + ... + 75118.

It is an arithmetic number, because the mean of its divisors is an integer number (24694383).

Almost surely, 2^755338900 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 755338900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888997788).

755338900 is an abundant number, since it is smaller than the sum of its proper divisors (1022656676).

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

755338900 is a wasteful number, since it uses less digits than its factorization.

755338900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10902 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 755338900 is about 27483.4295530962. The cubic root of 755338900 is about 910.7110732535.

The spelling of 755338900 in words is "seven hundred fifty-five million, three hundred thirty-eight thousand, nine hundred".