79048000 has 112 divisors (see below), whose sum is σ = 201369168. Its totient is φ = 30720000.

The previous prime is 79047989. The next prime is 79048001. The reversal of 79048000 is 84097.

It can be written as a sum of positive squares in 8 ways, for example, as 37161216 + 41886784 = 6096^2 + 6472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 79048000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79048001) 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 15 ways as a sum of consecutive naturals, for example, 327880 + ... + 328120.

It is an arithmetic number, because the mean of its divisors is an integer number (1797939).

Almost surely, 2^79048000 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 79048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100684584).

79048000 is an abundant number, since it is smaller than the sum of its proper divisors (122321168).

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

79048000 is a wasteful number, since it uses less digits than its factorization.

79048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 79048000 is about 8890.8942182437. The cubic root of 79048000 is about 429.1709282052.

The spelling of 79048000 in words is "seventy-nine million, forty-eight thousand".