882178008000 has 448 divisors, whose sum is σ = 3094787824128. Its totient is φ = 220656844800.

The previous prime is 882178007969. The next prime is 882178008001. The reversal of 882178008000 is 800871288.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882178008001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125252479 + ... + 125259521.

It is an arithmetic number, because the mean of its divisors is an integer number (6908008536).

Almost surely, 2^882178008000 is an apocalyptic number.

882178008000 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 882178008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547393912064).

882178008000 is an abundant number, since it is smaller than the sum of its proper divisors (2212609816128).

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

882178008000 is a wasteful number, since it uses less digits than its factorization.

882178008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

Adding to 882178008000 its reverse (800871288), we get a palindrome (882978879288).

The spelling of 882178008000 in words is "eight hundred eighty-two billion, one hundred seventy-eight million, eight thousand".