882224784 has 200 divisors, whose sum is σ = 3013283328. Its totient is φ = 243855360.

The previous prime is 882224773. The next prime is 882224813. The reversal of 882224784 is 487422288.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279664 + ... + 282800.

Almost surely, 2^882224784 is an apocalyptic number.

882224784 is a gapful number since it is divisible by the number (84) 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 882224784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506641664).

882224784 is an abundant number, since it is smaller than the sum of its proper divisors (2131058544).

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

882224784 is a wasteful number, since it uses less digits than its factorization.

882224784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3180 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 882224784 is about 29702.2690042360. The cubic root of 882224784 is about 959.0908580436.

The spelling of 882224784 in words is "eight hundred eighty-two million, two hundred twenty-four thousand, seven hundred eighty-four".