734208320 has 112 divisors (see below), whose sum is σ = 1811170368. Its totient is φ = 283299840.

The previous prime is 734208263. The next prime is 734208329. The reversal of 734208320 is 23802437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734208329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1403579 + ... + 1404101.

It is an arithmetic number, because the mean of its divisors is an integer number (16171164).

Almost surely, 2^734208320 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 734208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905585184).

734208320 is an abundant number, since it is smaller than the sum of its proper divisors (1076962048).

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

734208320 is a wasteful number, since it uses less digits than its factorization.

734208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 734208320 is about 27096.2787112917. The cubic root of 734208320 is about 902.1382573799.

The spelling of 734208320 in words is "seven hundred thirty-four million, two hundred eight thousand, three hundred twenty".