7677006 has 16 divisors (see below), whose sum is σ = 15382224. Its totient is φ = 2554304.

The previous prime is 7677001. The next prime is 7677011. The reversal of 7677006 is 6007767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7677001) and next prime (7677011).

It is a super-2 number, since 2×7677006² = 117872842248072, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7677001) 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, 4396 + ... + 5888.

It is an arithmetic number, because the mean of its divisors is an integer number (961389).

Almost surely, 2^7677006 is an apocalyptic number.

7677006 is an abundant number, since it is smaller than the sum of its proper divisors (7705218).

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

7677006 is a wasteful number, since it uses less digits than its factorization.

7677006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 7677006 is about 2770.7410561076. The cubic root of 7677006 is about 197.2713242844.

The spelling of 7677006 in words is "seven million, six hundred seventy-seven thousand, six".