755150400 has 189 divisors, whose sum is σ = 2695754451. Its totient is φ = 200494080.

The previous prime is 755150393. The next prime is 755150419. The reversal of 755150400 is 4051557.

The square root of 755150400 is 27480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 103063104 + 652087296 = 10152^2 + 25536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3297486 + ... + 3297714.

Almost surely, 2^755150400 is an apocalyptic number.

755150400 is the 27480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755150400

755150400 is an abundant number, since it is smaller than the sum of its proper divisors (1940604051).

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

755150400 is a wasteful number, since it uses less digits than its factorization.

755150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The cubic root of 755150400 is about 910.6353088871.

The spelling of 755150400 in words is "seven hundred fifty-five million, one hundred fifty thousand, four hundred".