734000400 has 720 divisors, whose sum is σ = 3242798400. Its totient is φ = 156764160.

The previous prime is 734000369. The next prime is 734000459. The reversal of 734000400 is 4000437.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10054764 + ... + 10054836.

Almost surely, 2^734000400 is an apocalyptic number.

734000400 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 734000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621399200).

734000400 is an abundant number, since it is smaller than the sum of its proper divisors (2508798000).

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

734000400 is a wasteful number, since it uses less digits than its factorization.

734000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

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

The square root of 734000400 is about 27092.4417504218. The cubic root of 734000400 is about 902.0530906816.

Adding to 734000400 its reverse (4000437), we get a palindrome (738000837).

The spelling of 734000400 in words is "seven hundred thirty-four million, four hundred", and thus it is an aban number.