79864200 has 144 divisors (see below), whose sum is σ = 288926820. Its totient is φ = 19653120.

The previous prime is 79864199. The next prime is 79864207. The reversal of 79864200 is 246897.

79864200 is a `hidden beast` number, since 7 + 9 + 8 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34786404 + 45077796 = 5898^2 + 6714^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (79864207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21694 + ... + 25106.

Almost surely, 2^79864200 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 79864200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144463410).

79864200 is an abundant number, since it is smaller than the sum of its proper divisors (209062620).

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

79864200 is a wasteful number, since it uses less digits than its factorization.

79864200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 79864200 is about 8936.6772348564. The cubic root of 79864200 is about 430.6429897278.

The spelling of 79864200 in words is "seventy-nine million, eight hundred sixty-four thousand, two hundred".