79042800 has 120 divisors (see below), whose sum is σ = 255241600. Its totient is φ = 20908800.

The previous prime is 79042759. The next prime is 79042801. The reversal of 79042800 is 824097.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79042801) 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, 238635 + ... + 238965.

Almost surely, 2^79042800 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 79042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127620800).

79042800 is an abundant number, since it is smaller than the sum of its proper divisors (176198800).

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

79042800 is a wasteful number, since it uses less digits than its factorization.

79042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 79042800 is about 8890.6017794073. The cubic root of 79042800 is about 429.1615173082.

Adding to 79042800 its reverse (824097), we get a palindrome (79866897).

The spelling of 79042800 in words is "seventy-nine million, forty-two thousand, eight hundred".