230377680 has 240 divisors, whose sum is σ = 843862656. Its totient is φ = 55987200.

The previous prime is 230377649. The next prime is 230377687. The reversal of 230377680 is 86773032.

230377680 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 (240).

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 (230377687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1413279 + ... + 1413441.

Almost surely, 2^230377680 is an apocalyptic number.

230377680 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 230377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421931328).

230377680 is an abundant number, since it is smaller than the sum of its proper divisors (613484976).

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

230377680 is a wasteful number, since it uses less digits than its factorization.

230377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 230377680 is about 15178.1975214450. The cubic root of 230377680 is about 613.0277489485.

The spelling of 230377680 in words is "two hundred thirty million, three hundred seventy-seven thousand, six hundred eighty".