882960000 has 320 divisors, whose sum is σ = 3167361120. Its totient is φ = 216576000.

The previous prime is 882959999. The next prime is 882960037. The reversal of 882960000 is 69288.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3119859 + ... + 3120141.

Almost surely, 2^882960000 is an apocalyptic number.

882960000 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 882960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583680560).

882960000 is an abundant number, since it is smaller than the sum of its proper divisors (2284401120).

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

882960000 is a wasteful number, since it uses less digits than its factorization.

882960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 882960000 is about 29714.6428549966. The cubic root of 882960000 is about 959.3572085883.

The spelling of 882960000 in words is "eight hundred eighty-two million, nine hundred sixty thousand".