79552000 has 160 divisors (see below), whose sum is σ = 218316384. Its totient is φ = 28672000.

The previous prime is 79551919. The next prime is 79552019. The reversal of 79552000 is 25597.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 79552000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 703944 + ... + 704056.

Almost surely, 2^79552000 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 79552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109158192).

79552000 is an abundant number, since it is smaller than the sum of its proper divisors (138764384).

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

79552000 is a wasteful number, since it uses less digits than its factorization.

79552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 79552000 is about 8919.1927885880. The cubic root of 79552000 is about 430.0811096320.

Adding to 79552000 its reverse (25597), we get a palindrome (79577597).

The spelling of 79552000 in words is "seventy-nine million, five hundred fifty-two thousand".