756049140 has 720 divisors, whose sum is σ = 3244348800. Its totient is φ = 143700480.

The previous prime is 756049117. The next prime is 756049153. The reversal of 756049140 is 41940657.

756049140 is a `hidden beast` number, since 7 + 5 + 604 + 9 + 1 + 40 = 666.

It is a super-2 number, since 2×756049140² = 1143220604189479200, which contains 22 as substring.

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 = 756049095 and 756049104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26070646 + ... + 26070674.

It is an arithmetic number, because the mean of its divisors is an integer number (4506040).

Almost surely, 2^756049140 is an apocalyptic number.

756049140 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 756049140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622174400).

756049140 is an abundant number, since it is smaller than the sum of its proper divisors (2488299660).

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

756049140 is a wasteful number, since it uses less digits than its factorization.

756049140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 756049140 is about 27496.3477574750. The cubic root of 756049140 is about 910.9964289634.

Adding to 756049140 its reverse (41940657), we get a palindrome (797989797).

The spelling of 756049140 in words is "seven hundred fifty-six million, forty-nine thousand, one hundred forty".