734400000 has 480 divisors, whose sum is σ = 2877003360. Its totient is φ = 184320000.

The previous prime is 734399977. The next prime is 734400041. The reversal of 734400000 is 4437.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43199992 + ... + 43200008.

It is an arithmetic number, because the mean of its divisors is an integer number (5993757).

Almost surely, 2^734400000 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 734400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438501680).

734400000 is an abundant number, since it is smaller than the sum of its proper divisors (2142603360).

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

734400000 is an frugal number, since it uses more digits than its factorization.

734400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 734400000 is about 27099.8154975269. The cubic root of 734400000 is about 902.2167577230.

Adding to 734400000 its reverse (4437), we get a palindrome (734404437).

The spelling of 734400000 in words is "seven hundred thirty-four million, four hundred thousand".