738735760 has 120 divisors (see below), whose sum is σ = 2010139200. Its totient is φ = 251741952.

The previous prime is 738735757. The next prime is 738735761. The reversal of 738735760 is 67537837.

It is a self number, because there is not a number n which added to its sum of digits gives 738735760.

It is not an unprimeable number, because it can be changed into a prime (738735761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779607 + ... + 780553.

It is an arithmetic number, because the mean of its divisors is an integer number (16751160).

Almost surely, 2^738735760 is an apocalyptic number.

738735760 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 738735760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005069600).

738735760 is an abundant number, since it is smaller than the sum of its proper divisors (1271403440).

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

738735760 is a wasteful number, since it uses less digits than its factorization.

738735760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The square root of 738735760 is about 27179.6938908443. The cubic root of 738735760 is about 903.9887812845.

The spelling of 738735760 in words is "seven hundred thirty-eight million, seven hundred thirty-five thousand, seven hundred sixty".