120768000 has 320 divisors, whose sum is σ = 436632768. Its totient is φ = 29491200.

The previous prime is 120767993. The next prime is 120768019. The reversal of 120768000 is 867021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3263982 + ... + 3264018.

Almost surely, 2^120768000 is an apocalyptic number.

120768000 is a gapful number since it is divisible by the number (10) 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 120768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

120768000 is an abundant number, since it is smaller than the sum of its proper divisors (315864768).

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

120768000 is an equidigital number, since it uses as much as digits as its factorization.

120768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 120768000 is about 10989.4494857568. The cubic root of 120768000 is about 494.2924284977.

It can be divided in two parts, 120 and 768000, that multiplied together give a square (92160000 = 9600²).

The spelling of 120768000 in words is "one hundred twenty million, seven hundred sixty-eight thousand".