882082080 has 288 divisors, whose sum is σ = 3311642880. Its totient is φ = 212029440.

The previous prime is 882082073. The next prime is 882082093. The reversal of 882082080 is 80280288.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3690601 + ... + 3690839.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2^882082080 is an apocalyptic number.

882082080 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 882082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655821440).

882082080 is an abundant number, since it is smaller than the sum of its proper divisors (2429560800).

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

882082080 is a wasteful number, since it uses less digits than its factorization.

882082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 882082080 is about 29699.8666663674. The cubic root of 882082080 is about 959.0391427723.

It can be divided in two parts, 8820820 and 80, that added together give a square (8820900 = 2970²).

The spelling of 882082080 in words is "eight hundred eighty-two million, eighty-two thousand, eighty".