882090000 has 525 divisors, whose sum is σ = 3519528859. Its totient is φ = 213840000.

The previous prime is 882089963. The next prime is 882090007. The reversal of 882090000 is 90288.

The square root of 882090000 is 29700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 812934144 = 8316^2 + 28512^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (882090007) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 80189995 + ... + 80190005.

Almost surely, 2^882090000 is an apocalyptic number.

882090000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

882090000 is the 29700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882090000

882090000 is an abundant number, since it is smaller than the sum of its proper divisors (2637438859).

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

882090000 is an equidigital number, since it uses as much as digits as its factorization.

882090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 882090000 is about 959.0420130899.

The spelling of 882090000 in words is "eight hundred eighty-two million, ninety thousand".