882719712 has 216 divisors, whose sum is σ = 2964557232. Its totient is φ = 248371200.

The previous prime is 882719687. The next prime is 882719729. The reversal of 882719712 is 217917288.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1001512 + ... + 1002392.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802).

Almost surely, 2^882719712 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 882719712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482278616).

882719712 is an abundant number, since it is smaller than the sum of its proper divisors (2081837520).

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

882719712 is a wasteful number, since it uses less digits than its factorization.

882719712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 964 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 882719712 is about 29710.5993207811. The cubic root of 882719712 is about 959.2701744684.

The spelling of 882719712 in words is "eight hundred eighty-two million, seven hundred nineteen thousand, seven hundred twelve".