79126080 has 224 divisors, whose sum is σ = 280903680. Its totient is φ = 18708480.

The previous prime is 79126067. The next prime is 79126093. The reversal of 79126080 is 8062197.

It is an interprime number because it is at equal distance from previous prime (79126067) and next prime (79126093).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 622977 + ... + 623103.

Almost surely, 2^79126080 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 79126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

79126080 is an abundant number, since it is smaller than the sum of its proper divisors (201777600).

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

79126080 is a wasteful number, since it uses less digits than its factorization.

79126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 79126080 is about 8895.2841438596. The cubic root of 79126080 is about 429.3121868456.

The spelling of 79126080 in words is "seventy-nine million, one hundred twenty-six thousand, eighty".