882882000 has 960 divisors, whose sum is σ = 4224729600. Its totient is φ = 169344000.

The previous prime is 882881983. The next prime is 882882001. The reversal of 882882000 is 288288.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882882001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67913994 + ... + 67914006.

It is an arithmetic number, because the mean of its divisors is an integer number (4400760).

Almost surely, 2^882882000 is an apocalyptic number.

882882000 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 882882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112364800).

882882000 is an abundant number, since it is smaller than the sum of its proper divisors (3341847600).

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

882882000 is a wasteful number, since it uses less digits than its factorization.

882882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 882882000 is about 29713.3303417843. The cubic root of 882882000 is about 959.3289581331.

The spelling of 882882000 in words is "eight hundred eighty-two million, eight hundred eighty-two thousand".