75380240 has 40 divisors (see below), whose sum is σ = 188743128. Its totient is φ = 27832320.

The previous prime is 75380237. The next prime is 75380243. The reversal of 75380240 is 4208357.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75380237) and next prime (75380243).

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 75134224 = 496^2 + 8668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (75380243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35201 + ... + 37280.

Almost surely, 2^75380240 is an apocalyptic number.

It is an amenable number.

75380240 is an abundant number, since it is smaller than the sum of its proper divisors (113362888).

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

75380240 is a wasteful number, since it uses less digits than its factorization.

75380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72507 (or 72501 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 75380240 is about 8682.1794498847. The cubic root of 75380240 is about 422.4278134903.

Adding to 75380240 its reverse (4208357), we get a palindrome (79588597).

The spelling of 75380240 in words is "seventy-five million, three hundred eighty thousand, two hundred forty".