753318816 has 96 divisors (see below), whose sum is σ = 2119436928. Its totient is φ = 233671680.

The previous prime is 753318791. The next prime is 753318823. The reversal of 753318816 is 618813357.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77086 + ... + 86306.

It is an arithmetic number, because the mean of its divisors is an integer number (22077468).

Almost surely, 2^753318816 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 753318816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059718464).

753318816 is an abundant number, since it is smaller than the sum of its proper divisors (1366118112).

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

753318816 is a wasteful number, since it uses less digits than its factorization.

753318816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9286 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 753318816 is about 27446.6540037215. The cubic root of 753318816 is about 909.8984775846.

The spelling of 753318816 in words is "seven hundred fifty-three million, three hundred eighteen thousand, eight hundred sixteen".