756216480 has 96 divisors (see below), whose sum is σ = 2458971648. Its totient is φ = 195148800.

The previous prime is 756216463. The next prime is 756216493. The reversal of 756216480 is 84612657.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 10531 + ... + 40290.

It is an arithmetic number, because the mean of its divisors is an integer number (25614288).

Almost surely, 2^756216480 is an apocalyptic number.

It is an amenable number.

756216480 is an abundant number, since it is smaller than the sum of its proper divisors (1702755168).

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

756216480 is a wasteful number, since it uses less digits than its factorization.

756216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50870 (or 50862 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 756216480 is about 27499.3905387010. The cubic root of 756216480 is about 911.0636357486.

It can be divided in two parts, 7562 and 16480, that added together give a palindrome (24042).

The spelling of 756216480 in words is "seven hundred fifty-six million, two hundred sixteen thousand, four hundred eighty".