230776761600 has 1296 divisors, whose sum is σ = 1046759086464. Its totient is φ = 47112192000.

The previous prime is 230776761599. The next prime is 230776761617. The reversal of 230776761600 is 6167677032.

230776761600 is a `hidden beast` number, since 2 + 30 + 7 + 7 + 6 + 7 + 6 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270546774 + ... + 270547626.

Almost surely, 2^230776761600 is an apocalyptic number.

230776761600 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 230776761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523379543232).

230776761600 is an abundant number, since it is smaller than the sum of its proper divisors (815982324864).

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

230776761600 is a wasteful number, since it uses less digits than its factorization.

230776761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 230776761600 in words is "two hundred thirty billion, seven hundred seventy-six million, seven hundred sixty-one thousand, six hundred".