882309120 has 384 divisors, whose sum is σ = 3528645120. Its totient is φ = 182845440.

The previous prime is 882309107. The next prime is 882309121. The reversal of 882309120 is 21903288.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882309121) 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, 2365254 + ... + 2365626.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2^882309120 is an apocalyptic number.

882309120 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 882309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764322560).

882309120 is an abundant number, since it is smaller than the sum of its proper divisors (2646336000).

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

882309120 is a wasteful number, since it uses less digits than its factorization.

882309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 882309120 is about 29703.6886598281. The cubic root of 882309120 is about 959.1214183991.

The spelling of 882309120 in words is "eight hundred eighty-two million, three hundred nine thousand, one hundred twenty".