882657920 has 128 divisors (see below), whose sum is σ = 2298672000. Its totient is φ = 322818048.

The previous prime is 882657917. The next prime is 882657929. The reversal of 882657920 is 29756288.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (882657929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351389 + ... + 353891.

It is an arithmetic number, because the mean of its divisors is an integer number (17958375).

Almost surely, 2^882657920 is an apocalyptic number.

882657920 is a gapful number since it is divisible by the number (80) 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 882657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149336000).

882657920 is an abundant number, since it is smaller than the sum of its proper divisors (1416014080).

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

882657920 is a wasteful number, since it uses less digits than its factorization.

882657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 882657920 is about 29709.5594043399. The cubic root of 882657920 is about 959.2477903885.

The spelling of 882657920 in words is "eight hundred eighty-two million, six hundred fifty-seven thousand, nine hundred twenty".