882207367680 has 640 divisors, whose sum is σ = 3159135302400. Its totient is φ = 208712761344.

The previous prime is 882207367649. The next prime is 882207367687. The reversal of 882207367680 is 86763702288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 882207367680.

It is not an unprimeable number, because it can be changed into a prime (882207367687) 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, 568065784 + ... + 568067336.

It is an arithmetic number, because the mean of its divisors is an integer number (4936148910).

Almost surely, 2^882207367680 is an apocalyptic number.

882207367680 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 882207367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579567651200).

882207367680 is an abundant number, since it is smaller than the sum of its proper divisors (2276927934720).

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

882207367680 is a wasteful number, since it uses less digits than its factorization.

882207367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 882207367680 in words is "eight hundred eighty-two billion, two hundred seven million, three hundred sixty-seven thousand, six hundred eighty".