755936400 has 240 divisors, whose sum is σ = 2573942400. Its totient is φ = 189235200.

The previous prime is 755936387. The next prime is 755936437. The reversal of 755936400 is 4639557.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1683376 + ... + 1683824.

It is an arithmetic number, because the mean of its divisors is an integer number (10724760).

Almost surely, 2^755936400 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 755936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286971200).

755936400 is an abundant number, since it is smaller than the sum of its proper divisors (1818006000).

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

755936400 is a wasteful number, since it uses less digits than its factorization.

755936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 755936400 is about 27494.2975905914. The cubic root of 755936400 is about 910.9511449391.

The spelling of 755936400 in words is "seven hundred fifty-five million, nine hundred thirty-six thousand, four hundred".