882724752 has 480 divisors, whose sum is σ = 3275790336. Its totient is φ = 215654400.

The previous prime is 882724741. The next prime is 882724757. The reversal of 882724752 is 257427288.

882724752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 882724698 and 882724707.

It is not an unprimeable number, because it can be changed into a prime (882724757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16655158 + ... + 16655210.

Almost surely, 2^882724752 is an apocalyptic number.

882724752 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882724752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168).

882724752 is an abundant number, since it is smaller than the sum of its proper divisors (2393065584).

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

882724752 is a wasteful number, since it uses less digits than its factorization.

882724752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 882724752 is about 29710.6841388750. The cubic root of 882724752 is about 959.2720001565.

The spelling of 882724752 in words is "eight hundred eighty-two million, seven hundred twenty-four thousand, seven hundred fifty-two".