882847680 has 448 divisors, whose sum is σ = 3379622400. Its totient is φ = 192430080.

The previous prime is 882847661. The next prime is 882847687. The reversal of 882847680 is 86748288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882847687) 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, 8099466 + ... + 8099574.

It is an arithmetic number, because the mean of its divisors is an integer number (7543800).

Almost surely, 2^882847680 is an apocalyptic number.

882847680 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 882847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689811200).

882847680 is an abundant number, since it is smaller than the sum of its proper divisors (2496774720).

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

882847680 is a wasteful number, since it uses less digits than its factorization.

882847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 882847680 is about 29712.7528176034. The cubic root of 882847680 is about 959.3165274056.

The spelling of 882847680 in words is "eight hundred eighty-two million, eight hundred forty-seven thousand, six hundred eighty".