75408064 has 28 divisors (see below), whose sum is σ = 150976584. Its totient is φ = 37366784.

The previous prime is 75408059. The next prime is 75408079. The reversal of 75408064 is 46080457.

It is a super-2 number, since 2×75408064² = 11372752232456192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2019 + ... + 12445.

Almost surely, 2^75408064 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 75408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75488292).

75408064 is an abundant number, since it is smaller than the sum of its proper divisors (75568520).

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

75408064 is a wasteful number, since it uses less digits than its factorization.

75408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10552 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 75408064 is about 8683.7816646896. The cubic root of 75408064 is about 422.4797819533.

The spelling of 75408064 in words is "seventy-five million, four hundred eight thousand, sixty-four".