79380000 has 450 divisors, whose sum is σ = 339353091. Its totient is φ = 18144000.

The previous prime is 79379959. The next prime is 79380001. The reversal of 79380000 is 8397.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 18352656 + 61027344 = 4284^2 + 7812^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6300.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (79380001) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 11339997 + ... + 11340003.

Almost surely, 2^79380000 is an apocalyptic number.

79380000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79380000

79380000 is an abundant number, since it is smaller than the sum of its proper divisors (259973091).

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

79380000 is an equidigital number, since it uses as much as digits as its factorization.

79380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 79380000 is about 8909.5454429505. The cubic root of 79380000 is about 429.7709253994.

Adding to 79380000 its reverse (8397), we get a palindrome (79388397).

The spelling of 79380000 in words is "seventy-nine million, three hundred eighty thousand".