752805816 has 96 divisors (see below), whose sum is σ = 2240346240. Its totient is φ = 210071232.

The previous prime is 752805803. The next prime is 752805817. The reversal of 752805816 is 618508257.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752805817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43125 + ... + 58011.

It is an arithmetic number, because the mean of its divisors is an integer number (23336940).

Almost surely, 2^752805816 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 752805816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120173120).

752805816 is an abundant number, since it is smaller than the sum of its proper divisors (1487540424).

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

752805816 is a wasteful number, since it uses less digits than its factorization.

752805816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14953 (or 14942 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 752805816 is about 27437.3070107108. The cubic root of 752805816 is about 909.6918878001.

The spelling of 752805816 in words is "seven hundred fifty-two million, eight hundred five thousand, eight hundred sixteen".