79015200 has 288 divisors, whose sum is σ = 291356352. Its totient is φ = 18432000.

The previous prime is 79015163. The next prime is 79015213. The reversal of 79015200 is 251097.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082364 + ... + 1082436.

It is an arithmetic number, because the mean of its divisors is an integer number (1011654).

Almost surely, 2^79015200 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 79015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145678176).

79015200 is an abundant number, since it is smaller than the sum of its proper divisors (212341152).

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

79015200 is a wasteful number, since it uses less digits than its factorization.

79015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 79015200 is about 8889.0494429945. The cubic root of 79015200 is about 429.1115602520. Note that the first 3 decimals are identical.

Adding to 79015200 its reverse (251097), we get a palindrome (79266297).

The spelling of 79015200 in words is "seventy-nine million, fifteen thousand, two hundred".