120777728 has 44 divisors (see below), whose sum is σ = 244657440. Its totient is φ = 59584512.

The previous prime is 120777703. The next prime is 120777749. The reversal of 120777728 is 827777021.

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 3 ways as a sum of consecutive naturals, for example, 80150 + ... + 81642.

Almost surely, 2^120777728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122328720).

120777728 is an abundant number, since it is smaller than the sum of its proper divisors (123879712).

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

120777728 is an equidigital number, since it uses as much as digits as its factorization.

120777728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 41.

The square root of 120777728 is about 10989.8920831826. The cubic root of 120777728 is about 494.3057000808.

The spelling of 120777728 in words is "one hundred twenty million, seven hundred seventy-seven thousand, seven hundred twenty-eight".