230878800 has 180 divisors, whose sum is σ = 815543040. Its totient is φ = 60468480.

The previous prime is 230878799. The next prime is 230878801. The reversal of 230878800 is 8878032.

230878800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230878799) and next prime (230878801).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230878801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211857 + ... + 212943.

Almost surely, 2^230878800 is an apocalyptic number.

230878800 is a gapful number since it is divisible by the number (20) 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 230878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407771520).

230878800 is an abundant number, since it is smaller than the sum of its proper divisors (584664240).

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

230878800 is a wasteful number, since it uses less digits than its factorization.

230878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 230878800 is about 15194.6964431673. The cubic root of 230878800 is about 613.4719152301.

The spelling of 230878800 in words is "two hundred thirty million, eight hundred seventy-eight thousand, eight hundred".