882375120 has 200 divisors, whose sum is σ = 3343491360. Its totient is φ = 213891840.

The previous prime is 882375119. The next prime is 882375127. The reversal of 882375120 is 21573288.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882375127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65091 + ... + 77469.

Almost surely, 2^882375120 is an apocalyptic number.

882375120 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 882375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671745680).

882375120 is an abundant number, since it is smaller than the sum of its proper divisors (2461116240).

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

882375120 is a wasteful number, since it uses less digits than its factorization.

882375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12415 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 882375120 is about 29704.7996121839. The cubic root of 882375120 is about 959.1453330846.

The spelling of 882375120 in words is "eight hundred eighty-two million, three hundred seventy-five thousand, one hundred twenty".