890880000 has 300 divisors, whose sum is σ = 3070923240. Its totient is φ = 229376000.

The previous prime is 890879993. The next prime is 890880007. The reversal of 890880000 is 88098.

It is an interprime number because it is at equal distance from previous prime (890879993) and next prime (890880007).

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890880007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30719986 + ... + 30720014.

Almost surely, 2^890880000 is an apocalyptic number.

890880000 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 890880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535461620).

890880000 is an abundant number, since it is smaller than the sum of its proper divisors (2180043240).

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

890880000 is an frugal number, since it uses more digits than its factorization.

890880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 890880000 is about 29847.6129698842. The cubic root of 890880000 is about 962.2170979437.

The spelling of 890880000 in words is "eight hundred ninety million, eight hundred eighty thousand".