120076580 has 96 divisors (see below), whose sum is σ = 289766400. Its totient is φ = 41430528.

The previous prime is 120076531. The next prime is 120076589. The reversal of 120076580 is 85670021.

It is not an unprimeable number, because it can be changed into a prime (120076589) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 538349 + ... + 538571.

It is an arithmetic number, because the mean of its divisors is an integer number (3018400).

Almost surely, 2^120076580 is an apocalyptic number.

120076580 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 120076580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144883200).

120076580 is an abundant number, since it is smaller than the sum of its proper divisors (169689820).

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

120076580 is a wasteful number, since it uses less digits than its factorization.

120076580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 120076580 is about 10957.9459754098. The cubic root of 120076580 is about 493.3473161770.

The spelling of 120076580 in words is "one hundred twenty million, seventy-six thousand, five hundred eighty".