729825600 has 504 divisors, whose sum is σ = 2908340640. Its totient is φ = 159559680.

The previous prime is 729825559. The next prime is 729825619. The reversal of 729825600 is 6528927.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6820747 + ... + 6820853.

Almost surely, 2^729825600 is an apocalyptic number.

729825600 is a gapful number since it is divisible by the number (70) 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 729825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454170320).

729825600 is an abundant number, since it is smaller than the sum of its proper divisors (2178515040).

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

729825600 is a wasteful number, since it uses less digits than its factorization.

729825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 729825600 is about 27015.2845626323. The cubic root of 729825600 is about 900.3396249091.

The spelling of 729825600 in words is "seven hundred twenty-nine million, eight hundred twenty-five thousand, six hundred".