78079120 has 80 divisors (see below), whose sum is σ = 210665088. Its totient is φ = 26357760.

The previous prime is 78079117. The next prime is 78079163. The reversal of 78079120 is 2197087.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 36480 + ... + 38560.

Almost surely, 2^78079120 is an apocalyptic number.

78079120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78079120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105332544).

78079120 is an abundant number, since it is smaller than the sum of its proper divisors (132585968).

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

78079120 is a wasteful number, since it uses less digits than its factorization.

78079120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 78079120 is about 8836.2390189492. The cubic root of 78079120 is about 427.4102863394.

The spelling of 78079120 in words is "seventy-eight million, seventy-nine thousand, one hundred twenty".