120782720 has 64 divisors (see below), whose sum is σ = 295853040. Its totient is φ = 47124480.

The previous prime is 120782663. The next prime is 120782723. The reversal of 120782720 is 27287021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120782723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23939 + ... + 28541.

Almost surely, 2^120782720 is an apocalyptic number.

120782720 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 120782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147926520).

120782720 is an abundant number, since it is smaller than the sum of its proper divisors (175070320).

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

120782720 is an equidigital number, since it uses as much as digits as its factorization.

120782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 120782720 is about 10990.1191986256. The cubic root of 120782720 is about 494.3125102218.

The spelling of 120782720 in words is "one hundred twenty million, seven hundred eighty-two thousand, seven hundred twenty".