752495984 has 40 divisors (see below), whose sum is σ = 1510700928. Its totient is φ = 362730240.

The previous prime is 752495977. The next prime is 752495987. The reversal of 752495984 is 489594257.

752495984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×752495984² = 1132500411872256512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752495987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134654 + ... + 140130.

Almost surely, 2^752495984 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 752495984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755350464).

752495984 is an abundant number, since it is smaller than the sum of its proper divisors (758204944).

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

752495984 is a wasteful number, since it uses less digits than its factorization.

752495984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5787 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The square root of 752495984 is about 27431.6602486980. The cubic root of 752495984 is about 909.5670701614.

The spelling of 752495984 in words is "seven hundred fifty-two million, four hundred ninety-five thousand, nine hundred eighty-four".