7680064 has 84 divisors (see below), whose sum is σ = 18531840. Its totient is φ = 3144960.

The previous prime is 7680059. The next prime is 7680067. The reversal of 7680064 is 4600867.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (7680067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97177 + ... + 97255.

Almost surely, 2^7680064 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 7680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9265920).

7680064 is an abundant number, since it is smaller than the sum of its proper divisors (10851776).

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

7680064 is a wasteful number, since it uses less digits than its factorization.

7680064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 7680064 is about 2771.2928390915. The cubic root of 7680064 is about 197.2975139920.

The spelling of 7680064 in words is "seven million, six hundred eighty thousand, sixty-four".