79400 has 24 divisors (see below), whose sum is σ = 185070. Its totient is φ = 31680.

The previous prime is 79399. The next prime is 79411. The reversal of 79400 is 497.

It can be written as a sum of positive squares in 3 ways, for example, as 64516 + 14884 = 254^2 + 122^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 2 + ... + 398.

2⁷⁹⁴⁰⁰ 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 79400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92535).

79400 is an abundant number, since it is smaller than the sum of its proper divisors (105670).

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

79400 is a wasteful number, since it uses less digits than its factorization.

79400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 79400 is about 281.7800560721. The cubic root of 79400 is about 42.9807016341.

Adding to 79400 its reverse (497), we get a palindrome (79897).

The spelling of 79400 in words is "seventy-nine thousand, four hundred".