755930530080 has 480 divisors, whose sum is σ = 2938645277568. Its totient is φ = 181473177600.

The previous prime is 755930530057. The next prime is 755930530081. The reversal of 755930530080 is 80035039557.

755930530080 is a `hidden beast` number, since 7 + 5 + 5 + 9 + 30 + 530 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (755930530081) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 14657940 + ... + 14709420.

Almost surely, 2^755930530080 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 755930530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469322638784).

755930530080 is an abundant number, since it is smaller than the sum of its proper divisors (2182714747488).

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

755930530080 is a wasteful number, since it uses less digits than its factorization.

755930530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51622 (or 51605 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 755930530080 in words is "seven hundred fifty-five billion, nine hundred thirty million, five hundred thirty thousand, eighty".