756875640 has 128 divisors (see below), whose sum is σ = 2472768000. Its totient is φ = 184601088.

The previous prime is 756875627. The next prime is 756875641. The reversal of 756875640 is 46578657.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 756875640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756875641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60397 + ... + 71843.

It is an arithmetic number, because the mean of its divisors is an integer number (19318500).

Almost surely, 2^756875640 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 756875640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236384000).

756875640 is an abundant number, since it is smaller than the sum of its proper divisors (1715892360).

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

756875640 is a wasteful number, since it uses less digits than its factorization.

756875640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 756875640 is about 27511.3729210303. The cubic root of 756875640 is about 911.3282699812.

The spelling of 756875640 in words is "seven hundred fifty-six million, eight hundred seventy-five thousand, six hundred forty".