7666960 has 40 divisors (see below), whose sum is σ = 20373696. Its totient is φ = 2628480.

The previous prime is 7666913. The next prime is 7666973. The reversal of 7666960 is 696667.

7666960 is digitally balanced in base 8, 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 (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

7666960 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6286 + ... + 7405.

Almost surely, 2^7666960 is an apocalyptic number.

7666960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7666960 is an abundant number, since it is smaller than the sum of its proper divisors (12706736).

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

7666960 is a wasteful number, since it uses less digits than its factorization.

7666960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13711 (or 13705 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 7666960 is about 2768.9275902414. The cubic root of 7666960 is about 197.1852380854.

It can be divided in two parts, 76669 and 60, that added together give a square (76729 = 277²).

The spelling of 7666960 in words is "seven million, six hundred sixty-six thousand, nine hundred sixty".