882239800320 has 704 divisors, whose sum is σ = 3257775936000. Its totient is φ = 226149138432.

The previous prime is 882239800249. The next prime is 882239800339. The reversal of 882239800320 is 23008932288.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439216334 + ... + 1439216946.

Almost surely, 2^882239800320 is an apocalyptic number.

882239800320 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 882239800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628887968000).

882239800320 is an abundant number, since it is smaller than the sum of its proper divisors (2375536135680).

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

882239800320 is a wasteful number, since it uses less digits than its factorization.

882239800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 882239800320 in words is "eight hundred eighty-two billion, two hundred thirty-nine million, eight hundred thousand, three hundred twenty".