79740 has 36 divisors (see below), whose sum is σ = 242424. Its totient is φ = 21216.

The previous prime is 79699. The next prime is 79757. The reversal of 79740 is 4797.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (6734).

2⁷⁹⁷⁴⁰ 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 79740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121212).

79740 is an abundant number, since it is smaller than the sum of its proper divisors (162684).

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

79740 is a wasteful number, since it uses less digits than its factorization.

79740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 79740 is about 282.3827190180. The cubic root of 79740 is about 43.0419637215.

The spelling of 79740 in words is "seventy-nine thousand, seven hundred forty".