7660512 has 72 divisors (see below), whose sum is σ = 22165416. Its totient is φ = 2509056.

The previous prime is 7660507. The next prime is 7660529. The reversal of 7660512 is 2150667.

7660512 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19098 + ... + 19494.

It is an arithmetic number, because the mean of its divisors is an integer number (307853).

Almost surely, 2^7660512 is an apocalyptic number.

7660512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7660512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082708).

7660512 is an abundant number, since it is smaller than the sum of its proper divisors (14504904).

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

7660512 is a wasteful number, since it uses less digits than its factorization.

7660512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7660512 is about 2767.7629956338. The cubic root of 7660512 is about 197.1299442438.

The spelling of 7660512 in words is "seven million, six hundred sixty thousand, five hundred twelve".