882846720000 has 2520 divisors, whose sum is σ = 4095872413776. Its totient is φ = 181665792000.

The previous prime is 882846719921. The next prime is 882846720013. The reversal of 882846720000 is 27648288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38384639989 + ... + 38384640011.

Almost surely, 2^882846720000 is an apocalyptic number.

882846720000 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 882846720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047936206888).

882846720000 is an abundant number, since it is smaller than the sum of its proper divisors (3213025693776).

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

882846720000 is a wasteful number, since it uses less digits than its factorization.

882846720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 882846720000 in words is "eight hundred eighty-two billion, eight hundred forty-six million, seven hundred twenty thousand".