79684480 has 64 divisors (see below), whose sum is σ = 200552400. Its totient is φ = 30191616.

The previous prime is 79684471. The next prime is 79684487. The reversal of 79684480 is 8448697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 79684480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79684487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8884 + ... + 15436.

Almost surely, 2^79684480 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 79684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100276200).

79684480 is an abundant number, since it is smaller than the sum of its proper divisors (120867920).

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

79684480 is a wasteful number, since it uses less digits than its factorization.

79684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 79684480 is about 8926.6163802417. The cubic root of 79684480 is about 430.3197189530.

The spelling of 79684480 in words is "seventy-nine million, six hundred eighty-four thousand, four hundred eighty".