882289440 has 144 divisors (see below), whose sum is σ = 3018689856. Its totient is φ = 234662400.

The previous prime is 882289411. The next prime is 882289501. The reversal of 882289440 is 44982288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908155 + ... + 909125.

It is an arithmetic number, because the mean of its divisors is an integer number (20963124).

Almost surely, 2^882289440 is an apocalyptic number.

882289440 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 882289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509344928).

882289440 is an abundant number, since it is smaller than the sum of its proper divisors (2136400416).

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

882289440 is a wasteful number, since it uses less digits than its factorization.

882289440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 882289440 is about 29703.3573859926. The cubic root of 882289440 is about 959.1142872439.

The spelling of 882289440 in words is "eight hundred eighty-two million, two hundred eighty-nine thousand, four hundred forty".