79436400 has 120 divisors (see below), whose sum is σ = 259470000. Its totient is φ = 20766720.

The previous prime is 79436369. The next prime is 79436407. The reversal of 79436400 is 463497.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79436407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62976 + ... + 64224.

It is an arithmetic number, because the mean of its divisors is an integer number (2162250).

Almost surely, 2^79436400 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 79436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129735000).

79436400 is an abundant number, since it is smaller than the sum of its proper divisors (180033600).

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

79436400 is a wasteful number, since it uses less digits than its factorization.

79436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 79436400 is about 8912.7100255758. The cubic root of 79436400 is about 429.8726863038.

Adding to 79436400 its reverse (463497), we get a palindrome (79899897).

The spelling of 79436400 in words is "seventy-nine million, four hundred thirty-six thousand, four hundred".