882031680 has 392 divisors, whose sum is σ = 3331464000. Its totient is φ = 221709312.

The previous prime is 882031679. The next prime is 882031681. The reversal of 882031680 is 86130288.

It is an interprime number because it is at equal distance from previous prime (882031679) and next prime (882031681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (882031681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4432221 + ... + 4432419.

Almost surely, 2^882031680 is an apocalyptic number.

882031680 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 882031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665732000).

882031680 is an abundant number, since it is smaller than the sum of its proper divisors (2449432320).

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

882031680 is a wasteful number, since it uses less digits than its factorization.

882031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 882031680 is about 29699.0181655892. The cubic root of 882031680 is about 959.0208767120.

The spelling of 882031680 in words is "eight hundred eighty-two million, thirty-one thousand, six hundred eighty".