729460800 has 252 divisors, whose sum is σ = 2616372720. Its totient is φ = 192752640.

The previous prime is 729460759. The next prime is 729460813. The reversal of 729460800 is 8064927.

It is a super-2 number, since 2×729460800² = 1064226117473280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2577459 + ... + 2577741.

Almost surely, 2^729460800 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 729460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308186360).

729460800 is an abundant number, since it is smaller than the sum of its proper divisors (1886911920).

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

729460800 is a wasteful number, since it uses less digits than its factorization.

729460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 729460800 is about 27008.5319852820. The cubic root of 729460800 is about 900.1895896888.

The spelling of 729460800 in words is "seven hundred twenty-nine million, four hundred sixty thousand, eight hundred".