882011680 has 192 divisors, whose sum is σ = 2469035520. Its totient is φ = 294092800.

The previous prime is 882011677. The next prime is 882011681. The reversal of 882011680 is 86110288.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (882011681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226361 + ... + 1227079.

It is an arithmetic number, because the mean of its divisors is an integer number (12859560).

Almost surely, 2^882011680 is an apocalyptic number.

882011680 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 882011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234517760).

882011680 is an abundant number, since it is smaller than the sum of its proper divisors (1587023840).

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

882011680 is a wasteful number, since it uses less digits than its factorization.

882011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 882011680 is about 29698.6814522127. The cubic root of 882011680 is about 959.0136280825.

The spelling of 882011680 in words is "eight hundred eighty-two million, eleven thousand, six hundred eighty".