79105800 has 96 divisors (see below), whose sum is σ = 253198080. Its totient is φ = 20409600.

The previous prime is 79105787. The next prime is 79105801. The reversal of 79105800 is 850197.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (79105801) 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, 16474 + ... + 20726.

It is an arithmetic number, because the mean of its divisors is an integer number (2637480).

Almost surely, 2^79105800 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 79105800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126599040).

79105800 is an abundant number, since it is smaller than the sum of its proper divisors (174092280).

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

79105800 is a wasteful number, since it uses less digits than its factorization.

79105800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 79105800 is about 8894.1441409503. The cubic root of 79105800 is about 429.2755061664.

Adding to 79105800 its reverse (850197), we get a palindrome (79955997).

The spelling of 79105800 in words is "seventy-nine million, one hundred five thousand, eight hundred".