79608000 has 224 divisors, whose sum is σ = 273881088. Its totient is φ = 20352000.

The previous prime is 79607981. The next prime is 79608013. The reversal of 79608000 is 80697.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743947 + ... + 744053.

Almost surely, 2^79608000 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 79608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

79608000 is an abundant number, since it is smaller than the sum of its proper divisors (194273088).

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

79608000 is a wasteful number, since it uses less digits than its factorization.

79608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 79608000 is about 8922.3315338537. The cubic root of 79608000 is about 430.1820033576.

Adding to 79608000 its reverse (80697), we get a palindrome (79688697).

The spelling of 79608000 in words is "seventy-nine million, six hundred eight thousand".