78171120 has 60 divisors (see below), whose sum is σ = 262527096. Its totient is φ = 20845440.

The previous prime is 78171091. The next prime is 78171127. The reversal of 78171120 is 2117187.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×78171120² = 12221448004108800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78171127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53566 + ... + 55005.

Almost surely, 2^78171120 is an apocalyptic number.

It is an amenable number.

78171120 is an abundant number, since it is smaller than the sum of its proper divisors (184355976).

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

78171120 is a wasteful number, since it uses less digits than its factorization.

78171120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108590 (or 108581 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 78171120 is about 8841.4433210873. The cubic root of 78171120 is about 427.5780918180.

The spelling of 78171120 in words is "seventy-eight million, one hundred seventy-one thousand, one hundred twenty".