120077629 has 16 divisors (see below), whose sum is σ = 140935168. Its totient is φ = 100163952.

The previous prime is 120077609. The next prime is 120077651. The reversal of 120077629 is 926770021.

It is not a de Polignac number, because 120077629 - 2⁵ = 120077597 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120077594 and 120077603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120077609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109924 + ... + 111010.

It is an arithmetic number, because the mean of its divisors is an integer number (8808448).

Almost surely, 2^120077629 is an apocalyptic number.

It is an amenable number.

120077629 is a deficient number, since it is larger than the sum of its proper divisors (20857539).

120077629 is a wasteful number, since it uses less digits than its factorization.

120077629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 120077629 is about 10957.9938401151. The cubic root of 120077629 is about 493.3487528153.

The spelling of 120077629 in words is "one hundred twenty million, seventy-seven thousand, six hundred twenty-nine".