755442240 has 224 divisors, whose sum is σ = 2777825280. Its totient is φ = 170366976.

The previous prime is 755442229. The next prime is 755442241. The reversal of 755442240 is 42244557.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (755442241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530169 + ... + 531591.

Almost surely, 2^755442240 is an apocalyptic number.

755442240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388912640).

755442240 is an abundant number, since it is smaller than the sum of its proper divisors (2022383040).

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

755442240 is a wasteful number, since it uses less digits than its factorization.

755442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 755442240 is about 27485.3095307293. The cubic root of 755442240 is about 910.7526036583.

Adding to 755442240 its reverse (42244557), we get a palindrome (797686797).

It can be divided in two parts, 7554 and 42240, that added together give a palindrome (49794).

The spelling of 755442240 in words is "seven hundred fifty-five million, four hundred forty-two thousand, two hundred forty".