882081707760 has 960 divisors, whose sum is σ = 3706787750400. Its totient is φ = 190638489600.

The previous prime is 882081707753. The next prime is 882081707783. The reversal of 882081707760 is 67707180288.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 882081707697 and 882081707706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130462780 + ... + 130469540.

It is an arithmetic number, because the mean of its divisors is an integer number (3861237240).

Almost surely, 2^882081707760 is an apocalyptic number.

882081707760 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 882081707760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853393875200).

882081707760 is an abundant number, since it is smaller than the sum of its proper divisors (2824706042640).

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

882081707760 is a wasteful number, since it uses less digits than its factorization.

882081707760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 882081707760 in words is "eight hundred eighty-two billion, eighty-one million, seven hundred seven thousand, seven hundred sixty".