79965600 has 288 divisors, whose sum is σ = 307105344. Its totient is φ = 17817600.

The previous prime is 79965593. The next prime is 79965601. The reversal of 79965600 is 656997.

It is not an unprimeable number, because it can be changed into a prime (79965601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343084 + ... + 343316.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2^79965600 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 79965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

79965600 is an abundant number, since it is smaller than the sum of its proper divisors (227139744).

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

79965600 is a wasteful number, since it uses less digits than its factorization.

79965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 79965600 is about 8942.3486847696. The cubic root of 79965600 is about 430.8251686908.

The spelling of 79965600 in words is "seventy-nine million, nine hundred sixty-five thousand, six hundred".