882962080 has 384 divisors, whose sum is σ = 2895782400. Its totient is φ = 245514240.

The previous prime is 882962009. The next prime is 882962089. The reversal of 882962080 is 80269288.

It is not an unprimeable number, because it can be changed into a prime (882962089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5925846 + ... + 5925994.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^882962080 is an apocalyptic number.

882962080 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 882962080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447891200).

882962080 is an abundant number, since it is smaller than the sum of its proper divisors (2012820320).

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

882962080 is a wasteful number, since it uses less digits than its factorization.

882962080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 882962080 is about 29714.6778545553. The cubic root of 882962080 is about 959.3579619110.

The spelling of 882962080 in words is "eight hundred eighty-two million, nine hundred sixty-two thousand, eighty".