734689920 has 256 divisors, whose sum is σ = 2481684480. Its totient is φ = 184504320.

The previous prime is 734689919. The next prime is 734689939. The reversal of 734689920 is 29986437.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 734689920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5608255 + ... + 5608385.

It is an arithmetic number, because the mean of its divisors is an integer number (9694080).

Almost surely, 2^734689920 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 734689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240842240).

734689920 is an abundant number, since it is smaller than the sum of its proper divisors (1746994560).

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

734689920 is a wasteful number, since it uses less digits than its factorization.

734689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 734689920 is about 27105.1640836207. The cubic root of 734689920 is about 902.3354651802.

The spelling of 734689920 in words is "seven hundred thirty-four million, six hundred eighty-nine thousand, nine hundred twenty".