882244080 has 120 divisors (see below), whose sum is σ = 2972205600. Its totient is φ = 234524160.

The previous prime is 882244079. The next prime is 882244091. The reversal of 882244080 is 80442288.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 249525 + ... + 253035.

It is an arithmetic number, because the mean of its divisors is an integer number (24768380).

Almost surely, 2^882244080 is an apocalyptic number.

882244080 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 882244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486102800).

882244080 is an abundant number, since it is smaller than the sum of its proper divisors (2089961520).

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

882244080 is a wasteful number, since it uses less digits than its factorization.

882244080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 882244080 is about 29702.5938261291. The cubic root of 882244080 is about 959.0978503969.

The spelling of 882244080 in words is "eight hundred eighty-two million, two hundred forty-four thousand, eighty".