120764007 has 64 divisors (see below), whose sum is σ = 229877760. Its totient is φ = 60901632.

The previous prime is 120763999. The next prime is 120764023. The reversal of 120764007 is 700467021.

120764007 is a `hidden beast` number, since 12 + 0 + 7 + 640 + 0 + 7 = 666.

It is not a de Polignac number, because 120764007 - 2³ = 120763999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120764407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55443 + ... + 57579.

It is an arithmetic number, because the mean of its divisors is an integer number (3591840).

Almost surely, 2^120764007 is an apocalyptic number.

120764007 is a deficient number, since it is larger than the sum of its proper divisors (109113753).

120764007 is a wasteful number, since it uses less digits than its factorization.

120764007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 120764007 is about 10989.2678100044. The cubic root of 120764007 is about 494.2869807759.

The spelling of 120764007 in words is "one hundred twenty million, seven hundred sixty-four thousand, seven".