757542240 has 768 divisors, whose sum is σ = 3413975040. Its totient is φ = 152616960.

The previous prime is 757542209. The next prime is 757542251. The reversal of 757542240 is 42245757.

It is a happy number.

757542240 is a `hidden beast` number, since 7 + 575 + 42 + 2 + 40 = 666.

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 = 757542195 and 757542204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16117897 + ... + 16117943.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2^757542240 is an apocalyptic number.

757542240 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 757542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706987520).

757542240 is an abundant number, since it is smaller than the sum of its proper divisors (2656432800).

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

757542240 is a wasteful number, since it uses less digits than its factorization.

757542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 757542240 is about 27523.4852444235. The cubic root of 757542240 is about 911.5957349541.

Adding to 757542240 its reverse (42245757), we get a palindrome (799787997).

The spelling of 757542240 in words is "seven hundred fifty-seven million, five hundred forty-two thousand, two hundred forty".