7666560 has 192 divisors, whose sum is σ = 29118960. Its totient is φ = 1858560.

The previous prime is 7666559. The next prime is 7666573. The reversal of 7666560 is 656667.

7666560 = T₃₁₇ + T₃₁₈ + ... + T₄₂₆.

7666560 = 44³ + 45³ + ... + 76³.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7666560² = 117552284467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696955 + ... + 696965.

Almost surely, 2^7666560 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 7666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559480).

7666560 is an abundant number, since it is smaller than the sum of its proper divisors (21452400).

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

7666560 is a wasteful number, since it uses less digits than its factorization.

7666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7666560 is about 2768.8553591692. The cubic root of 7666560 is about 197.1818088485.

The spelling of 7666560 in words is "seven million, six hundred sixty-six thousand, five hundred sixty".