753085938 has 64 divisors (see below), whose sum is σ = 1776430080. Its totient is φ = 210340800.

The previous prime is 753085933. The next prime is 753085939. The reversal of 753085938 is 839580357.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (753085933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38283 + ... + 54513.

It is an arithmetic number, because the mean of its divisors is an integer number (27756720).

Almost surely, 2^753085938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 753085938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888215040).

753085938 is an abundant number, since it is smaller than the sum of its proper divisors (1023344142).

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

753085938 is a wasteful number, since it uses less digits than its factorization.

753085938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16303.

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 753085938 is about 27442.4113007585. The cubic root of 753085938 is about 909.8047071155.

The spelling of 753085938 in words is "seven hundred fifty-three million, eighty-five thousand, nine hundred thirty-eight".