738960768 has 576 divisors, whose sum is σ = 2856999600. Its totient is φ = 181149696.

The previous prime is 738960661. The next prime is 738960779. The reversal of 738960768 is 867069837.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13942630 + ... + 13942682.

Almost surely, 2^738960768 is an apocalyptic number.

738960768 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 738960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428499800).

738960768 is an abundant number, since it is smaller than the sum of its proper divisors (2118038832).

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

738960768 is a wasteful number, since it uses less digits than its factorization.

738960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 738960768 is about 27183.8328423348. The cubic root of 738960768 is about 904.0805525108.

The spelling of 738960768 in words is "seven hundred thirty-eight million, nine hundred sixty thousand, seven hundred sixty-eight".