7646080 has 64 divisors (see below), whose sum is σ = 19706400. Its totient is φ = 2820096.

The previous prime is 7646071. The next prime is 7646083. The reversal of 7646080 is 806467.

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 (7646083) 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, 7861 + ... + 8779.

Almost surely, 2^7646080 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 7646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9853200).

7646080 is an abundant number, since it is smaller than the sum of its proper divisors (12060320).

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

7646080 is a wasteful number, since it uses less digits than its factorization.

7646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 939 counting only the distinct ones).

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

The square root of 7646080 is about 2765.1546068891. The cubic root of 7646080 is about 197.0060722874.

The spelling of 7646080 in words is "seven million, six hundred forty-six thousand, eighty".