882250080 has 192 divisors, whose sum is σ = 2892589056. Its totient is φ = 225792000.

The previous prime is 882250067. The next prime is 882250091. The reversal of 882250080 is 80052288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139540 + ... + 3139820.

It is an arithmetic number, because the mean of its divisors is an integer number (15065568).

Almost surely, 2^882250080 is an apocalyptic number.

882250080 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 882250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446294528).

882250080 is an abundant number, since it is smaller than the sum of its proper divisors (2010338976).

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

882250080 is a wasteful number, since it uses less digits than its factorization.

882250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 882250080 is about 29702.6948272375. The cubic root of 882250080 is about 959.1000246154.

The spelling of 882250080 in words is "eight hundred eighty-two million, two hundred fifty thousand, eighty".