75788064 has 144 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 22433280.

The previous prime is 75788051. The next prime is 75788081. The reversal of 75788064 is 46088757.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148642 + ... + 149150.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^75788064 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 75788064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

75788064 is an abundant number, since it is smaller than the sum of its proper divisors (164801376).

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

75788064 is a wasteful number, since it uses less digits than its factorization.

75788064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 75788064 is about 8705.6340377941. The cubic root of 75788064 is about 423.1882534800.

The spelling of 75788064 in words is "seventy-five million, seven hundred eighty-eight thousand, sixty-four".