7664680 has 32 divisors (see below), whose sum is σ = 17447400. Its totient is φ = 3030016.

The previous prime is 7664669. The next prime is 7664687. The reversal of 7664680 is 864667.

It can be written as a sum of positive squares in 4 ways, for example, as 3076516 + 4588164 = 1754^2 + 2142^2 .

It is not an unprimeable number, because it can be changed into a prime (7664687) by changing a digit.

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, 2484 + ... + 4636.

Almost surely, 2^7664680 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 7664680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723700).

7664680 is an abundant number, since it is smaller than the sum of its proper divisors (9782720).

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

7664680 is a wasteful number, since it uses less digits than its factorization.

7664680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 7664680 is about 2768.5158478867. The cubic root of 7664680 is about 197.1656898370.

It can be divided in two parts, 76 and 64680, that multiplied together give a triangular number (4915680 = T₃₁₃₅).

The spelling of 7664680 in words is "seven million, six hundred sixty-four thousand, six hundred eighty".