81230704200 has 240 divisors, whose sum is σ = 283569523380. Its totient is φ = 21550717440.

The previous prime is 81230704153. The next prime is 81230704253. The reversal of 81230704200 is 240703218.

81230704200 is a `hidden beast` number, since 8 + 1 + 230 + 7 + 0 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54394367076 + 26836337124 = 233226^2 + 163818^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3178674 + ... + 3204126.

Almost surely, 2^81230704200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81230704200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141784761690).

81230704200 is an abundant number, since it is smaller than the sum of its proper divisors (202338819180).

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

81230704200 is a wasteful number, since it uses less digits than its factorization.

81230704200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25678 (or 25660 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 81230704200 in words is "eighty-one billion, two hundred thirty million, seven hundred four thousand, two hundred".