75080064 has 64 divisors (see below), whose sum is σ = 204114240. Its totient is φ = 24439296.

The previous prime is 75080063. The next prime is 75080087. The reversal of 75080064 is 46008057.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75080063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14239 + ... + 18785.

It is an arithmetic number, because the mean of its divisors is an integer number (3189285).

Almost surely, 2^75080064 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 75080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102057120).

75080064 is an abundant number, since it is smaller than the sum of its proper divisors (129034176).

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

75080064 is a wasteful number, since it uses less digits than its factorization.

75080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 75080064 is about 8664.8753020456. The cubic root of 75080064 is about 421.8663428237.

The spelling of 75080064 in words is "seventy-five million, eighty thousand, sixty-four".