882480744 has 288 divisors, whose sum is σ = 2805865920. Its totient is φ = 258660864.

The previous prime is 882480737. The next prime is 882480749. The reversal of 882480744 is 447084288.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 882480744.

It is not an unprimeable number, because it can be changed into a prime (882480749) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20522787 + ... + 20522829.

It is an arithmetic number, because the mean of its divisors is an integer number (9742590).

Almost surely, 2^882480744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882480744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402932960).

882480744 is an abundant number, since it is smaller than the sum of its proper divisors (1923385176).

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

882480744 is a wasteful number, since it uses less digits than its factorization.

882480744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

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

The square root of 882480744 is about 29706.5774534866. The cubic root of 882480744 is about 959.1836027964.

The spelling of 882480744 in words is "eight hundred eighty-two million, four hundred eighty thousand, seven hundred forty-four".