7666880 has 112 divisors (see below), whose sum is σ = 20909280. Its totient is φ = 2654208.

The previous prime is 7666859. The next prime is 7666903. The reversal of 7666880 is 886667.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78992 + ... + 79088.

It is an arithmetic number, because the mean of its divisors is an integer number (186690).

Almost surely, 2^7666880 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 7666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10454640).

7666880 is an abundant number, since it is smaller than the sum of its proper divisors (13242400).

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

7666880 is a wasteful number, since it uses less digits than its factorization.

7666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 7666880 is about 2768.9131441777. The cubic root of 7666880 is about 197.1845522476.

The spelling of 7666880 in words is "seven million, six hundred sixty-six thousand, eight hundred eighty".