230779613075760 has 640 divisors, whose sum is σ = 956906201702400. Its totient is φ = 49940593597440.

The previous prime is 230779613075747. The next prime is 230779613075761. The reversal of 230779613075760 is 67570316977032.

It is a happy number.

230779613075760 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 7 + 9 + 613 + 0 + 7 + 5 + 7 + 6 + 0 = 666.

It is a super-3 number, since 3×230779613075760³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (230779613075761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 439563327 + ... + 440088033.

It is an arithmetic number, because the mean of its divisors is an integer number (1495165940160).

Almost surely, 2^{230779613075760} is an apocalyptic number.

230779613075760 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 230779613075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478453100851200).

230779613075760 is an abundant number, since it is smaller than the sum of its proper divisors (726126588626640).

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

230779613075760 is a wasteful number, since it uses less digits than its factorization.

230779613075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526286 (or 526274 counting only the distinct ones).

The product of its (nonzero) digits is 70013160, while the sum is 63.

The spelling of 230779613075760 in words is "two hundred thirty trillion, seven hundred seventy-nine billion, six hundred thirteen million, seventy-five thousand, seven hundred sixty".