79248000 has 256 divisors, whose sum is σ = 285143040. Its totient is φ = 19353600.

The previous prime is 79247989. The next prime is 79248007. The reversal of 79248000 is 84297.

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

It is not an unprimeable number, because it can be changed into a prime (79248007) 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 31 ways as a sum of consecutive naturals, for example, 623937 + ... + 624063.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^79248000 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 79248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

79248000 is an abundant number, since it is smaller than the sum of its proper divisors (205895040).

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

79248000 is a wasteful number, since it uses less digits than its factorization.

79248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 79248000 is about 8902.1345754824. The cubic root of 79248000 is about 429.5325730172.

The spelling of 79248000 in words is "seventy-nine million, two hundred forty-eight thousand".