75869568 has 128 divisors (see below), whose sum is σ = 231948000. Its totient is φ = 24385536.

The previous prime is 75869551. The next prime is 75869569. The reversal of 75869568 is 86596857.

75869568 is a `hidden beast` number, since 7 + 586 + 9 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75869569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99846 + ... + 100602.

Almost surely, 2^75869568 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 75869568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115974000).

75869568 is an abundant number, since it is smaller than the sum of its proper divisors (156078432).

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

75869568 is a wasteful number, since it uses less digits than its factorization.

75869568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 791 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 75869568 is about 8710.3138864222. The cubic root of 75869568 is about 423.3399008357.

The spelling of 75869568 in words is "seventy-five million, eight hundred sixty-nine thousand, five hundred sixty-eight".