734393088 has 288 divisors, whose sum is σ = 2554836480. Its totient is φ = 205148160.

The previous prime is 734393083. The next prime is 734393089. The reversal of 734393088 is 880393437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (734393083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988045 + ... + 988787.

It is an arithmetic number, because the mean of its divisors is an integer number (8870960).

Almost surely, 2^734393088 is an apocalyptic number.

734393088 is a gapful number since it is divisible by the number (78) 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 734393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277418240).

734393088 is an abundant number, since it is smaller than the sum of its proper divisors (1820443392).

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

734393088 is a wasteful number, since it uses less digits than its factorization.

734393088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 734393088 is about 27099.6879686833. The cubic root of 734393088 is about 902.2139272302.

The spelling of 734393088 in words is "seven hundred thirty-four million, three hundred ninety-three thousand, eighty-eight".