79680 has 56 divisors (see below), whose sum is σ = 256032. Its totient is φ = 20992.

The previous prime is 79669. The next prime is 79687. The reversal of 79680 is 8697.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (4572).

2⁷⁹⁶⁸⁰ 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 79680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016).

79680 is an abundant number, since it is smaller than the sum of its proper divisors (176352).

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

79680 is a wasteful number, since it uses less digits than its factorization.

79680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 79680 is about 282.2764602300. The cubic root of 79680 is about 43.0311654361.

The spelling of 79680 in words is "seventy-nine thousand, six hundred eighty".