7668780 has 144 divisors (see below), whose sum is σ = 26691840. Its totient is φ = 1607040.

The previous prime is 7668757. The next prime is 7668823. The reversal of 7668780 is 878667.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247365 + ... + 247395.

It is an arithmetic number, because the mean of its divisors is an integer number (185360).

Almost surely, 2^7668780 is an apocalyptic number.

7668780 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7668780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345920).

7668780 is an abundant number, since it is smaller than the sum of its proper divisors (19023060).

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

7668780 is a wasteful number, since it uses less digits than its factorization.

7668780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 7668780 is about 2769.2562178318. The cubic root of 7668780 is about 197.2008396076.

It can be divided in two parts, 76687 and 80, that added together give a palindrome (76767).

The spelling of 7668780 in words is "seven million, six hundred sixty-eight thousand, seven hundred eighty".