75888064 has 56 divisors (see below), whose sum is σ = 175666400. Its totient is φ = 32514048.

The previous prime is 75888011. The next prime is 75888079. The reversal of 75888064 is 46088857.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20224 + ... + 23680.

It is an arithmetic number, because the mean of its divisors is an integer number (3136900).

Almost surely, 2^75888064 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 75888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87833200).

75888064 is an abundant number, since it is smaller than the sum of its proper divisors (99778336).

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

75888064 is an equidigital number, since it uses as much as digits as its factorization.

75888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 75888064 is about 8711.3755515418. The cubic root of 75888064 is about 423.3742996019.

The spelling of 75888064 in words is "seventy-five million, eight hundred eighty-eight thousand, sixty-four".