755034984 has 192 divisors, whose sum is σ = 2350857600. Its totient is φ = 216691200.

The previous prime is 755034983. The next prime is 755034989. The reversal of 755034984 is 489430557.

755034984 is a `hidden beast` number, since 7 + 550 + 3 + 4 + 98 + 4 = 666.

It is a super-4 number, since 4×755034984⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (755034983) by changing a digit.

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, 3296982 + ... + 3297210.

It is an arithmetic number, because the mean of its divisors is an integer number (12244050).

Almost surely, 2^755034984 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 755034984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175428800).

755034984 is an abundant number, since it is smaller than the sum of its proper divisors (1595822616).

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

755034984 is a wasteful number, since it uses less digits than its factorization.

755034984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 755034984 is about 27477.8999197537. The cubic root of 755034984 is about 910.5889131669.

The spelling of 755034984 in words is "seven hundred fifty-five million, thirty-four thousand, nine hundred eighty-four".