7580064 has 48 divisors (see below), whose sum is σ = 20768832. Its totient is φ = 2416128.

The previous prime is 7580059. The next prime is 7580071. The reversal of 7580064 is 4600857.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 492 + ... + 3924.

It is an arithmetic number, because the mean of its divisors is an integer number (432684).

Almost surely, 2^7580064 is an apocalyptic number.

7580064 is the 1472-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7580064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384416).

7580064 is an abundant number, since it is smaller than the sum of its proper divisors (13188768).

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

7580064 is a wasteful number, since it uses less digits than its factorization.

7580064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3461 counting only the distinct ones).

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

The square root of 7580064 is about 2753.1916024861. The cubic root of 7580064 is about 196.4374513609.

The spelling of 7580064 in words is "seven million, five hundred eighty thousand, sixty-four".