729122800 has 120 divisors (see below), whose sum is σ = 2021175200. Its totient is φ = 247587840.

The previous prime is 729122789. The next prime is 729122831. The reversal of 729122800 is 8221927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304006 + ... + 306394.

Almost surely, 2^729122800 is an apocalyptic number.

729122800 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 729122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010587600).

729122800 is an abundant number, since it is smaller than the sum of its proper divisors (1292052400).

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

729122800 is a wasteful number, since it uses less digits than its factorization.

729122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 729122800 is about 27002.2739783152. The cubic root of 729122800 is about 900.0505321422.

The spelling of 729122800 in words is "seven hundred twenty-nine million, one hundred twenty-two thousand, eight hundred".