882064080090 has 192 divisors, whose sum is σ = 2332464076800. Its totient is φ = 231248908800.

The previous prime is 882064080019. The next prime is 882064080097. The reversal of 882064080090 is 90080460288.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (882064080097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 968236735 + ... + 968237645.

It is an arithmetic number, because the mean of its divisors is an integer number (12148250400).

Almost surely, 2^882064080090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882064080090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166232038400).

882064080090 is an abundant number, since it is smaller than the sum of its proper divisors (1450399996710).

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

882064080090 is a wasteful number, since it uses less digits than its factorization.

882064080090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 882064080090 in words is "eight hundred eighty-two billion, sixty-four million, eighty thousand, ninety".