738131760 has 240 divisors, whose sum is σ = 2646259200. Its totient is φ = 183845376.

The previous prime is 738131743. The next prime is 738131783. The reversal of 738131760 is 67131837.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080379 + ... + 1081061.

It is an arithmetic number, because the mean of its divisors is an integer number (11026080).

Almost surely, 2^738131760 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 738131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323129600).

738131760 is an abundant number, since it is smaller than the sum of its proper divisors (1908127440).

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

738131760 is a wasteful number, since it uses less digits than its factorization.

738131760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 738131760 is about 27168.5803824933. The cubic root of 738131760 is about 903.7423430996.

The spelling of 738131760 in words is "seven hundred thirty-eight million, one hundred thirty-one thousand, seven hundred sixty".