75664000 has 64 divisors (see below), whose sum is σ = 188159400. Its totient is φ = 30259200.

The previous prime is 75663953. The next prime is 75664007. The reversal of 75664000 is 46657.

It can be written as a sum of positive squares in 4 ways, for example, as 4700224 + 70963776 = 2168^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 75664000.

It is not an unprimeable number, because it can be changed into a prime (75664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13636 + ... + 18364.

Almost surely, 2^75664000 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 75664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94079700).

75664000 is an abundant number, since it is smaller than the sum of its proper divisors (112495400).

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

75664000 is an equidigital number, since it uses as much as digits as its factorization.

75664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 75664000 is about 8698.5056187830. The cubic root of 75664000 is about 422.9572096130.

The spelling of 75664000 in words is "seventy-five million, six hundred sixty-four thousand".