230780309760 has 1728 divisors, whose sum is σ = 1120378210560. Its totient is φ = 44219105280.

The previous prime is 230780309759. The next prime is 230780309761. The reversal of 230780309760 is 67903087032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230780309759) and next prime (230780309761).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (230780309761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161444 + ... + 242162396.

It is an arithmetic number, because the mean of its divisors is an integer number (648367020).

Almost surely, 2^230780309760 is an apocalyptic number.

230780309760 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 230780309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560189105280).

230780309760 is an abundant number, since it is smaller than the sum of its proper divisors (889597900800).

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

230780309760 is a wasteful number, since it uses less digits than its factorization.

230780309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 230780309760 in words is "two hundred thirty billion, seven hundred eighty million, three hundred nine thousand, seven hundred sixty".