79549120 has 112 divisors (see below), whose sum is σ = 229331520. Its totient is φ = 25657344.

The previous prime is 79549081. The next prime is 79549121. The reversal of 79549120 is 2194597.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 79549120.

It is not an unprimeable number, because it can be changed into a prime (79549121) 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 15 ways as a sum of consecutive naturals, for example, 37036 + ... + 39124.

Almost surely, 2^79549120 is an apocalyptic number.

79549120 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 79549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114665760).

79549120 is an abundant number, since it is smaller than the sum of its proper divisors (149782400).

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

79549120 is a wasteful number, since it uses less digits than its factorization.

79549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 79549120 is about 8919.0313375388. The cubic root of 79549120 is about 430.0759195318.

The spelling of 79549120 in words is "seventy-nine million, five hundred forty-nine thousand, one hundred twenty".