79714080 has 144 divisors (see below), whose sum is σ = 274378104. Its totient is φ = 21073920.

The previous prime is 79714057. The next prime is 79714087. The reversal of 79714080 is 8041797.

It can be written as a sum of positive squares in 4 ways, for example, as 79495056 + 219024 = 8916^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (79714087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283540 + ... + 283820.

Almost surely, 2^79714080 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 79714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137189052).

79714080 is an abundant number, since it is smaller than the sum of its proper divisors (194664024).

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

79714080 is a wasteful number, since it uses less digits than its factorization.

79714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 79714080 is about 8928.2741893380. The cubic root of 79714080 is about 430.3729952700.

The spelling of 79714080 in words is "seventy-nine million, seven hundred fourteen thousand, eighty".