75818664 has 72 divisors (see below), whose sum is σ = 216792810. Its totient is φ = 23934528.

The previous prime is 75818651. The next prime is 75818689. The reversal of 75818664 is 46681857.

It is a happy number.

75818664 is a `hidden beast` number, since 7 + 581 + 8 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39312900 + 36505764 = 6270^2 + 6042^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24534 + ... + 27450.

It is a vampire number, since it can be written as 8664 ⋅ 8751 (with its own digits).

Almost surely, 2^75818664 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 75818664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108396405).

75818664 is an abundant number, since it is smaller than the sum of its proper divisors (140974146).

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

75818664 is a wasteful number, since it uses less digits than its factorization.

75818664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2941 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 75818664 is about 8707.3913429913. The cubic root of 75818664 is about 423.2452009615.

The spelling of 75818664 in words is "seventy-five million, eight hundred eighteen thousand, six hundred sixty-four".