734400 has 168 divisors, whose sum is σ = 2834640. Its totient is φ = 184320.

The previous prime is 734389. The next prime is 734401. The reversal of 734400 is 4437.

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 not an unprimeable number, because it can be changed into a prime (734401) by changing a digit.

734400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43192 + ... + 43208.

2⁷³⁴⁴⁰⁰ 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 734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417320).

734400 is an abundant number, since it is smaller than the sum of its proper divisors (2100240).

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

734400 is a wasteful number, since it uses less digits than its factorization.

734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

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

The square root of 734400 is about 856.9714114251. The cubic root of 734400 is about 90.2216757723.

Adding to 734400 its reverse (4437), we get a palindrome (738837).

The spelling of 734400 in words is "seven hundred thirty-four thousand, four hundred".