79198080 has 256 divisors, whose sum is σ = 287884800. Its totient is φ = 18358272.

The previous prime is 79198079. The next prime is 79198081. The reversal of 79198080 is 8089197.

79198080 = T₃₀₁ + T₃₀₂ + ... + T₇₉₄.

It is an interprime number because it is at equal distance from previous prime (79198079) and next prime (79198081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79198081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474157 + ... + 474323.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^79198080 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 79198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

79198080 is an abundant number, since it is smaller than the sum of its proper divisors (208686720).

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

79198080 is a wasteful number, since it uses less digits than its factorization.

79198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 79198080 is about 8899.3303118830. The cubic root of 79198080 is about 429.4423635064.

The spelling of 79198080 in words is "seventy-nine million, one hundred ninety-eight thousand, eighty".