75805668 has 72 divisors (see below), whose sum is σ = 202922720. Its totient is φ = 23860656.

The previous prime is 75805663. The next prime is 75805673. The reversal of 75805668 is 86650857.

75805668 is a `hidden beast` number, since 7 + 5 + 80 + 566 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (75805663) and next prime (75805673).

It is not an unprimeable number, because it can be changed into a prime (75805663) 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, 246771 + ... + 247077.

Almost surely, 2^75805668 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 75805668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101461360).

75805668 is an abundant number, since it is smaller than the sum of its proper divisors (127117052).

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

75805668 is a wasteful number, since it uses less digits than its factorization.

75805668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 75805668 is about 8706.6450484673. The cubic root of 75805668 is about 423.2210169033.

The spelling of 75805668 in words is "seventy-five million, eight hundred five thousand, six hundred sixty-eight".