79789600 has 72 divisors (see below), whose sum is σ = 212517648. Its totient is φ = 29011200.

The previous prime is 79789583. The next prime is 79789603. The reversal of 79789600 is 698797.

79789600 is nontrivially palindromic in base 9.

It is not an unprimeable number, because it can be changed into a prime (79789603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4267 + ... + 13333.

It is an arithmetic number, because the mean of its divisors is an integer number (2951634).

Almost surely, 2^79789600 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 79789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106258824).

79789600 is an abundant number, since it is smaller than the sum of its proper divisors (132728048).

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

79789600 is a wasteful number, since it uses less digits than its factorization.

79789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 79789600 is about 8932.5024489221. The cubic root of 79789600 is about 430.5088621503.

It can be divided in two parts, 7978 and 9600, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 79789600 in words is "seventy-nine million, seven hundred eighty-nine thousand, six hundred".