866390000 has 100 divisors (see below), whose sum is σ = 2397470064. Its totient is φ = 297024000.

The previous prime is 866389999. The next prime is 866390027. The reversal of 866390000 is 93668.

It is a happy number.

866390000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63812 + ... + 76188.

Almost surely, 2^866390000 is an apocalyptic number.

866390000 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 866390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198735032).

866390000 is an abundant number, since it is smaller than the sum of its proper divisors (1531080064).

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

866390000 is a wasteful number, since it uses less digits than its factorization.

866390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12391 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 866390000 is about 29434.5035629956. The cubic root of 866390000 is about 953.3180375831.

The spelling of 866390000 in words is "eight hundred sixty-six million, three hundred ninety thousand".