729081600 has 432 divisors, whose sum is σ = 2725158912. Its totient is φ = 170311680.

The previous prime is 729081583. The next prime is 729081631. The reversal of 729081600 is 6180927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5740737 + ... + 5740863.

Almost surely, 2^729081600 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 729081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362579456).

729081600 is an abundant number, since it is smaller than the sum of its proper divisors (1996077312).

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

729081600 is a wasteful number, since it uses less digits than its factorization.

729081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 729081600 is about 27001.5110688272. The cubic root of 729081600 is about 900.0335789941.

The spelling of 729081600 in words is "seven hundred twenty-nine million, eighty-one thousand, six hundred".