79380 has 90 divisors (see below), whose sum is σ = 289674. Its totient is φ = 18144.

The previous prime is 79379. The next prime is 79393. The reversal of 79380 is 8397.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 15876 = 252^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 11337 + ... + 11343.

2⁷⁹³⁸⁰ is an apocalyptic number.

79380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837).

79380 is an abundant number, since it is smaller than the sum of its proper divisors (210294).

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

79380 is a wasteful number, since it uses less digits than its factorization.

79380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 79380 is about 281.7445651650. The cubic root of 79380 is about 42.9770925399.

The spelling of 79380 in words is "seventy-nine thousand, three hundred eighty".