75394080 has 144 divisors (see below), whose sum is σ = 263763864. Its totient is φ = 19599360.

The previous prime is 75394079. The next prime is 75394087. The reversal of 75394080 is 8049357.

75394080 is a `hidden beast` number, since 7 + 539 + 40 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 28772496 = 6828^2 + 5364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75394087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58402 + ... + 59678.

Almost surely, 2^75394080 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 75394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131881932).

75394080 is an abundant number, since it is smaller than the sum of its proper divisors (188369784).

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

75394080 is a wasteful number, since it uses less digits than its factorization.

75394080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75394080 is about 8682.9764482002. The cubic root of 75394080 is about 422.4536648415.

The spelling of 75394080 in words is "seventy-five million, three hundred ninety-four thousand, eighty".