120479760 has 120 divisors (see below), whose sum is σ = 425954880. Its totient is φ = 30433536.

The previous prime is 120479747. The next prime is 120479797. The reversal of 120479760 is 67974021.

It is a happy number.

120479760 is a `hidden beast` number, since 120 + 479 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9277 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (3549624).

Almost surely, 2^120479760 is an apocalyptic number.

120479760 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 120479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212977440).

120479760 is an abundant number, since it is smaller than the sum of its proper divisors (305475120).

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

120479760 is a wasteful number, since it uses less digits than its factorization.

120479760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8845 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 120479760 is about 10976.3272545966. The cubic root of 120479760 is about 493.8988685327.

The spelling of 120479760 in words is "one hundred twenty million, four hundred seventy-nine thousand, seven hundred sixty".