752442828840 has 80 divisors (see below), whose sum is σ = 2529043963380. Its totient is φ = 200651420160.

The previous prime is 752442828829. The next prime is 752442828859. The reversal of 752442828840 is 48828244257.

It is a happy number.

752442828840 is a `hidden beast` number, since 7 + 5 + 2 + 442 + 82 + 88 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 606370575204 + 146072253636 = 778698^2 + 382194^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 116114481 + ... + 116120960.

Almost surely, 2^752442828840 is an apocalyptic number.

It is an amenable number.

752442828840 is an abundant number, since it is smaller than the sum of its proper divisors (1776601134540).

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

752442828840 is a wasteful number, since it uses less digits than its factorization.

752442828840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232235464 (or 232235451 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 752442828840 in words is "seven hundred fifty-two billion, four hundred forty-two million, eight hundred twenty-eight thousand, eight hundred forty".