889920000 has 400 divisors, whose sum is σ = 3323686080. Its totient is φ = 235008000.

The previous prime is 889919999. The next prime is 889920011. The reversal of 889920000 is 29988.

It is a tau number, because it is divible by the number of its divisors (400).

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 39 ways as a sum of consecutive naturals, for example, 8639949 + ... + 8640051.

Almost surely, 2^889920000 is an apocalyptic number.

889920000 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 889920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661843040).

889920000 is an abundant number, since it is smaller than the sum of its proper divisors (2433766080).

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

889920000 is an equidigital number, since it uses as much as digits as its factorization.

889920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 889920000 is about 29831.5269471745. The cubic root of 889920000 is about 961.8713497652.

Adding to 889920000 its reverse (29988), we get a palindrome (889949988).

The spelling of 889920000 in words is "eight hundred eighty-nine million, nine hundred twenty thousand".