755330400 has 648 divisors, whose sum is σ = 3189717720. Its totient is φ = 172339200.

The previous prime is 755330399. The next prime is 755330423. The reversal of 755330400 is 4033557.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 44431192 + ... + 44431208.

Almost surely, 2^755330400 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 755330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594858860).

755330400 is an abundant number, since it is smaller than the sum of its proper divisors (2434387320).

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

755330400 is a wasteful number, since it uses less digits than its factorization.

755330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 755330400 is about 27483.2749140273. The cubic root of 755330400 is about 910.7076570946.

Adding to 755330400 its reverse (4033557), we get a palindrome (759363957).

The spelling of 755330400 in words is "seven hundred fifty-five million, three hundred thirty thousand, four hundred".