755346816 has 128 divisors (see below), whose sum is σ = 2547878400. Its totient is φ = 215806464.

The previous prime is 755346797. The next prime is 755346821. The reversal of 755346816 is 618643557.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 8581 + ... + 39803.

It is an arithmetic number, because the mean of its divisors is an integer number (19905300).

Almost surely, 2^755346816 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 755346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273939200).

755346816 is an abundant number, since it is smaller than the sum of its proper divisors (1792531584).

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

755346816 is a wasteful number, since it uses less digits than its factorization.

755346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31253 (or 31235 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 755346816 is about 27483.5735667689. The cubic root of 755346816 is about 910.7142546792.

The spelling of 755346816 in words is "seven hundred fifty-five million, three hundred forty-six thousand, eight hundred sixteen".