79126160 has 80 divisors (see below), whose sum is σ = 197706096. Its totient is φ = 29343744.

The previous prime is 79126153. The next prime is 79126169. The reversal of 79126160 is 6162197.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 839056 + 78287104 = 916^2 + 8848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (79126169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98882 + ... + 99678.

Almost surely, 2^79126160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98853048).

79126160 is an abundant number, since it is smaller than the sum of its proper divisors (118579936).

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

79126160 is a wasteful number, since it uses less digits than its factorization.

79126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 79126160 is about 8895.2886406232. The cubic root of 79126160 is about 429.3123315301.

The spelling of 79126160 in words is "seventy-nine million, one hundred twenty-six thousand, one hundred sixty".