120738768 has 80 divisors (see below), whose sum is σ = 336436800. Its totient is φ = 37186560.

The previous prime is 120738719. The next prime is 120738841. The reversal of 120738768 is 867837021.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35778 + ... + 39006.

It is an arithmetic number, because the mean of its divisors is an integer number (4205460).

Almost surely, 2^120738768 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 120738768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168218400).

120738768 is an abundant number, since it is smaller than the sum of its proper divisors (215698032).

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

120738768 is a wasteful number, since it uses less digits than its factorization.

120738768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 120738768 is about 10988.1194023363. The cubic root of 120738768 is about 494.2525439747.

The spelling of 120738768 in words is "one hundred twenty million, seven hundred thirty-eight thousand, seven hundred sixty-eight".