882084500 has 192 divisors, whose sum is σ = 2314690560. Its totient is φ = 289872000.

The previous prime is 882084451. The next prime is 882084521. The reversal of 882084500 is 5480288.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2403317 + ... + 2403683.

It is an arithmetic number, because the mean of its divisors is an integer number (12055680).

Almost surely, 2^882084500 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 882084500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157345280).

882084500 is an abundant number, since it is smaller than the sum of its proper divisors (1432606060).

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

882084500 is a wasteful number, since it uses less digits than its factorization.

882084500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 882084500 is about 29699.9074072631. The cubic root of 882084500 is about 959.0400198156.

It can be divided in two parts, 8820 and 84500, that multiplied together give a square (745290000 = 27300²).

The spelling of 882084500 in words is "eight hundred eighty-two million, eighty-four thousand, five hundred".