79142400 has 240 divisors, whose sum is σ = 291759600. Its totient is φ = 21012480.

The previous prime is 79142387. The next prime is 79142417. The reversal of 79142400 is 424197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345486 + ... + 345714.

It is an arithmetic number, because the mean of its divisors is an integer number (1215665).

Almost surely, 2^79142400 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 79142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145879800).

79142400 is an abundant number, since it is smaller than the sum of its proper divisors (212617200).

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

79142400 is a wasteful number, since it uses less digits than its factorization.

79142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 79142400 is about 8896.2014365683. The cubic root of 79142400 is about 429.3417004743.

Adding to 79142400 its reverse (424197), we get a palindrome (79566597).

The spelling of 79142400 in words is "seventy-nine million, one hundred forty-two thousand, four hundred".