75008000 has 96 divisors (see below), whose sum is σ = 187813080. Its totient is φ = 29900800.

The previous prime is 75007997. The next prime is 75008009. The reversal of 75008000 is 80057.

It can be written as a sum of positive squares in 4 ways, for example, as 42198016 + 32809984 = 6496^2 + 5728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (75008009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255854 + ... + 256146.

Almost surely, 2^75008000 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 75008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93906540).

75008000 is an abundant number, since it is smaller than the sum of its proper divisors (112805080).

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

75008000 is an equidigital number, since it uses as much as digits as its factorization.

75008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 75008000 is about 8660.7159057436. The cubic root of 75008000 is about 421.7313264763.

Adding to 75008000 its reverse (80057), we get a palindrome (75088057).

The spelling of 75008000 in words is "seventy-five million, eight thousand".