79288080 has 80 divisors (see below), whose sum is σ = 253745664. Its totient is φ = 20459520.

The previous prime is 79288073. The next prime is 79288081. The reversal of 79288080 is 8088297.

79288080 = T₂₉₉ + T₃₀₀ + ... + T₇₉₄.

It is a happy number.

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 (79288081) 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, 2112 + ... + 12768.

Almost surely, 2^79288080 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 79288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126872832).

79288080 is an abundant number, since it is smaller than the sum of its proper divisors (174457584).

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

79288080 is a wasteful number, since it uses less digits than its factorization.

79288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10698 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 79288080 is about 8904.3854364015. The cubic root of 79288080 is about 429.6049734313.

The spelling of 79288080 in words is "seventy-nine million, two hundred eighty-eight thousand, eighty".