120378880 has 80 divisors (see below), whose sum is σ = 293887440. Its totient is φ = 47276032.

The previous prime is 120378877. The next prime is 120378893. The reversal of 120378880 is 88873021.

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

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 7 ways as a sum of consecutive naturals, for example, 150642 + ... + 151438.

It is an arithmetic number, because the mean of its divisors is an integer number (3673593).

Almost surely, 2^120378880 is an apocalyptic number.

120378880 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 120378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146943720).

120378880 is an abundant number, since it is smaller than the sum of its proper divisors (173508560).

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

120378880 is an frugal number, since it uses more digits than its factorization.

120378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 120378880 is about 10971.7309482141. The cubic root of 120378880 is about 493.7609797270.

The spelling of 120378880 in words is "one hundred twenty million, three hundred seventy-eight thousand, eight hundred eighty".