734814080 has 512 divisors, whose sum is σ = 2500485120. Its totient is φ = 199065600.

The previous prime is 734814079. The next prime is 734814083. The reversal of 734814080 is 80418437.

It is a happy number.

734814080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 734814080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734814083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19859822 + ... + 19859858.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^734814080 is an apocalyptic number.

734814080 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 734814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250242560).

734814080 is an abundant number, since it is smaller than the sum of its proper divisors (1765671040).

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

734814080 is a wasteful number, since it uses less digits than its factorization.

734814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 734814080 is about 27107.4543253327. The cubic root of 734814080 is about 902.3862928186.

The spelling of 734814080 in words is "seven hundred thirty-four million, eight hundred fourteen thousand, eighty".