756449078400 has 288 divisors, whose sum is σ = 2715363705600. Its totient is φ = 200510576640.

The previous prime is 756449078393. The next prime is 756449078401. The reversal of 756449078400 is 4870944657.

756449078400 is a `hidden beast` number, since 7 + 564 + 4 + 9 + 0 + 78 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (756449078401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4730961 + ... + 4888239.

It is an arithmetic number, because the mean of its divisors is an integer number (9428346200).

Almost surely, 2^756449078400 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 756449078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357681852800).

756449078400 is an abundant number, since it is smaller than the sum of its proper divisors (1958914627200).

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

756449078400 is a wasteful number, since it uses less digits than its factorization.

756449078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157476 (or 157456 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 756449078400 in words is "seven hundred fifty-six billion, four hundred forty-nine million, seventy-eight thousand, four hundred".