7668980 has 36 divisors (see below), whose sum is σ = 17707620. Its totient is φ = 2787840.

The previous prime is 7668977. The next prime is 7669001. The reversal of 7668980 is 898667.

It can be written as a sum of positive squares in 2 ways, for example, as 4648336 + 3020644 = 2156^2 + 1738^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 836 + ... + 4004.

Almost surely, 2^7668980 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 7668980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853810).

7668980 is an abundant number, since it is smaller than the sum of its proper divisors (10038640).

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

7668980 is a wasteful number, since it uses less digits than its factorization.

7668980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 7668980 is about 2769.2923283756. The cubic root of 7668980 is about 197.2025539101.

The spelling of 7668980 in words is "seven million, six hundred sixty-eight thousand, nine hundred eighty".