756313680 has 80 divisors (see below), whose sum is σ = 2482501824. Its totient is φ = 189818880.

The previous prime is 756313667. The next prime is 756313681. The reversal of 756313680 is 86313657.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756313681) 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 15 ways as a sum of consecutive naturals, for example, 88606 + ... + 96765.

Almost surely, 2^756313680 is an apocalyptic number.

It is an amenable number.

756313680 is an abundant number, since it is smaller than the sum of its proper divisors (1726188144).

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

756313680 is a wasteful number, since it uses less digits than its factorization.

756313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185404 (or 185398 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 756313680 is about 27501.1577938093. The cubic root of 756313680 is about 911.1026684833.

The spelling of 756313680 in words is "seven hundred fifty-six million, three hundred thirteen thousand, six hundred eighty".