755289120 has 96 divisors (see below), whose sum is σ = 2389020480. Its totient is φ = 200576000.

The previous prime is 755289113. The next prime is 755289151. The reversal of 755289120 is 21982557.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117346 + ... + 123614.

It is an arithmetic number, because the mean of its divisors is an integer number (24885630).

Almost surely, 2^755289120 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 755289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194510240).

755289120 is an abundant number, since it is smaller than the sum of its proper divisors (1633731360).

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

755289120 is a wasteful number, since it uses less digits than its factorization.

755289120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 755289120 is about 27482.5239015633. The cubic root of 755289120 is about 910.6910662548.

It can be divided in two parts, 75528 and 9120, that added together give a palindrome (84648).

The spelling of 755289120 in words is "seven hundred fifty-five million, two hundred eighty-nine thousand, one hundred twenty".