79072800 has 144 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 20608000.

The previous prime is 79072793. The next prime is 79072801. The reversal of 79072800 is 827097.

It is not an unprimeable number, because it can be changed into a prime (79072801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 112450 + ... + 113150.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^79072800 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 79072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

79072800 is an abundant number, since it is smaller than the sum of its proper divisors (184160352).

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

79072800 is a wasteful number, since it uses less digits than its factorization.

79072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 79072800 is about 8892.2887942307. The cubic root of 79072800 is about 429.2158052678.

Adding to 79072800 its reverse (827097), we get a palindrome (79899897).

The spelling of 79072800 in words is "seventy-nine million, seventy-two thousand, eight hundred".