7680260 has 72 divisors (see below), whose sum is σ = 19908504. Its totient is φ = 2472960.

The previous prime is 7680259. The next prime is 7680269. The reversal of 7680260 is 620867.

It can be written as a sum of positive squares in 4 ways, for example, as 1044484 + 6635776 = 1022^2 + 2576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16430 + ... + 16890.

It is an arithmetic number, because the mean of its divisors is an integer number (276507).

Almost surely, 2^7680260 is an apocalyptic number.

7680260 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 7680260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9954252).

7680260 is an abundant number, since it is smaller than the sum of its proper divisors (12228244).

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

7680260 is a wasteful number, since it uses less digits than its factorization.

7680260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 7680260 is about 2771.3282014226. The cubic root of 7680260 is about 197.2991923628.

The spelling of 7680260 in words is "seven million, six hundred eighty thousand, two hundred sixty".