738600768 has 280 divisors, whose sum is σ = 2406472200. Its totient is φ = 223727616.

The previous prime is 738600713. The next prime is 738600769. The reversal of 738600768 is 867006837.

738600768 is a `hidden beast` number, since 7 + 38 + 600 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142850304 + 595750464 = 11952^2 + 24408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738600769) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25468978 + ... + 25469006.

Almost surely, 2^738600768 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 738600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203236100).

738600768 is an abundant number, since it is smaller than the sum of its proper divisors (1667871432).

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

738600768 is an equidigital number, since it uses as much as digits as its factorization.

738600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 738600768 is about 27177.2104528776. The cubic root of 738600768 is about 903.9337148255.

The spelling of 738600768 in words is "seven hundred thirty-eight million, six hundred thousand, seven hundred sixty-eight".