120075760 has 80 divisors (see below), whose sum is σ = 337853376. Its totient is φ = 38744064.

The previous prime is 120075727. The next prime is 120075821. The reversal of 120075760 is 67570021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3214 + ... + 15826.

Almost surely, 2^120075760 is an apocalyptic number.

120075760 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 120075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168926688).

120075760 is an abundant number, since it is smaller than the sum of its proper divisors (217777616).

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

120075760 is a wasteful number, since it uses less digits than its factorization.

120075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12650 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 120075760 is about 10957.9085595747. The cubic root of 120075760 is about 493.3461931556.

The spelling of 120075760 in words is "one hundred twenty million, seventy-five thousand, seven hundred sixty".