756138240 has 864 divisors, whose sum is σ = 3374856576. Its totient is φ = 159252480.

The previous prime is 756138239. The next prime is 756138247. The reversal of 756138240 is 42831657.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 756138195 and 756138204.

It is not an unprimeable number, because it can be changed into a prime (756138247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44478712 + ... + 44478728.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^756138240 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 756138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687428288).

756138240 is an abundant number, since it is smaller than the sum of its proper divisors (2618718336).

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

756138240 is a wasteful number, since it uses less digits than its factorization.

756138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 756138240 is about 27497.9679249213. The cubic root of 756138240 is about 911.0322143769.

Adding to 756138240 its reverse (42831657), we get a palindrome (798969897).

The spelling of 756138240 in words is "seven hundred fifty-six million, one hundred thirty-eight thousand, two hundred forty".