79720200 has 480 divisors, whose sum is σ = 342091200. Its totient is φ = 16796160.

The previous prime is 79720117. The next prime is 79720211. The reversal of 79720200 is 202797.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2154582 + ... + 2154618.

It is an arithmetic number, because the mean of its divisors is an integer number (712690).

Almost surely, 2^79720200 is an apocalyptic number.

79720200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79720200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171045600).

79720200 is an abundant number, since it is smaller than the sum of its proper divisors (262371000).

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

79720200 is a wasteful number, since it uses less digits than its factorization.

79720200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 79720200 is about 8928.6169141699. The cubic root of 79720200 is about 430.3840088631.

Adding to 79720200 its reverse (202797), we get a palindrome (79922997).

The spelling of 79720200 in words is "seventy-nine million, seven hundred twenty thousand, two hundred".