79084080 has 320 divisors, whose sum is σ = 299980800. Its totient is φ = 19077120.

The previous prime is 79084079. The next prime is 79084081. The reversal of 79084080 is 8048097.

It is an interprime number because it is at equal distance from previous prime (79084079) and next prime (79084081).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79084081) 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 63 ways as a sum of consecutive naturals, for example, 1682617 + ... + 1682663.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^79084080 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 79084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

79084080 is an abundant number, since it is smaller than the sum of its proper divisors (220896720).

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

79084080 is a wasteful number, since it uses less digits than its factorization.

79084080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 79084080 is about 8892.9230290158. The cubic root of 79084080 is about 429.2362139886.

The spelling of 79084080 in words is "seventy-nine million, eighty-four thousand, eighty".