79387120 has 40 divisors (see below), whose sum is σ = 185122080. Its totient is φ = 31660800.

The previous prime is 79387117. The next prime is 79387141. The reversal of 79387120 is 2178397.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 79387120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29845 + ... + 32395.

It is an arithmetic number, because the mean of its divisors is an integer number (4628052).

Almost surely, 2^79387120 is an apocalyptic number.

It is an amenable number.

79387120 is an abundant number, since it is smaller than the sum of its proper divisors (105734960).

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

79387120 is a wasteful number, since it uses less digits than its factorization.

79387120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 79387120 is about 8909.9450054420. The cubic root of 79387120 is about 429.7837744693.

It can be divided in two parts, 79387 and 120, that added together give a cube (79507 = 43³).

The spelling of 79387120 in words is "seventy-nine million, three hundred eighty-seven thousand, one hundred twenty".