755085240 has 480 divisors, whose sum is σ = 3156706080. Its totient is φ = 158505984.

The previous prime is 755085211. The next prime is 755085281. The reversal of 755085240 is 42580557.

It is a happy number.

755085240 is a `hidden beast` number, since 7 + 550 + 85 + 24 + 0 = 666.

755085240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 755085195 and 755085204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3832822 + ... + 3833018.

It is an arithmetic number, because the mean of its divisors is an integer number (6576471).

Almost surely, 2^755085240 is an apocalyptic number.

755085240 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 755085240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578353040).

755085240 is an abundant number, since it is smaller than the sum of its proper divisors (2401620840).

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

755085240 is a wasteful number, since it uses less digits than its factorization.

755085240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 755085240 is about 27478.8143849039. The cubic root of 755085240 is about 910.6091160017.

The spelling of 755085240 in words is "seven hundred fifty-five million, eighty-five thousand, two hundred forty".