756488040 has 512 divisors, whose sum is σ = 3096576000. Its totient is φ = 143078400.

The previous prime is 756488003. The next prime is 756488041. The reversal of 756488040 is 40884657.

756488040 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 756487983 and 756488001.

It is not an unprimeable number, because it can be changed into a prime (756488041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5442291 + ... + 5442429.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^756488040 is an apocalyptic number.

756488040 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 756488040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548288000).

756488040 is an abundant number, since it is smaller than the sum of its proper divisors (2340087960).

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

756488040 is a wasteful number, since it uses less digits than its factorization.

756488040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 756488040 is about 27504.3276594793. The cubic root of 756488040 is about 911.1726780834.

The spelling of 756488040 in words is "seven hundred fifty-six million, four hundred eighty-eight thousand, forty".