230380277760 has 520 divisors, whose sum is σ = 833841506520. Its totient is φ = 60841525248.

The previous prime is 230380277737. The next prime is 230380277767. The reversal of 230380277760 is 67772083032.

230380277760 is a `hidden beast` number, since 2 + 303 + 8 + 0 + 277 + 76 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24365961216 + 206014316544 = 156096^2 + 453888^2 .

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 (230380277767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187452826 + ... + 187454054.

Almost surely, 2^230380277760 is an apocalyptic number.

230380277760 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 230380277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416920753260).

230380277760 is an abundant number, since it is smaller than the sum of its proper divisors (603461228760).

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

230380277760 is a wasteful number, since it uses less digits than its factorization.

230380277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 230380277760 in words is "two hundred thirty billion, three hundred eighty million, two hundred seventy-seven thousand, seven hundred sixty".