753116480 has 112 divisors (see below), whose sum is σ = 1876592640. Its totient is φ = 287838720.

The previous prime is 753116461. The next prime is 753116489. The reversal of 753116480 is 84611357.

It is a self number, because there is not a number n which added to its sum of digits gives 753116480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753116489) 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, 9533081 + ... + 9533159.

Almost surely, 2^753116480 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 753116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938296320).

753116480 is an abundant number, since it is smaller than the sum of its proper divisors (1123476160).

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

753116480 is an frugal number, since it uses more digits than its factorization.

753116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 753116480 is about 27442.9677695398. The cubic root of 753116480 is about 909.8170062341.

The spelling of 753116480 in words is "seven hundred fifty-three million, one hundred sixteen thousand, four hundred eighty".