7686728280 has 480 divisors, whose sum is σ = 32466661920. Its totient is φ = 1596672000.

The previous prime is 7686728249. The next prime is 7686728297. The reversal of 7686728280 is 828276867.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2742880 + ... + 2745680.

It is an arithmetic number, because the mean of its divisors is an integer number (67638879).

Almost surely, 2^7686728280 is an apocalyptic number.

7686728280 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 7686728280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233330960).

7686728280 is an abundant number, since it is smaller than the sum of its proper divisors (24779933640).

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

7686728280 is a wasteful number, since it uses less digits than its factorization.

7686728280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 7686728280 is about 87673.9886169210. The cubic root of 7686728280 is about 1973.5456498129.

The spelling of 7686728280 in words is "seven billion, six hundred eighty-six million, seven hundred twenty-eight thousand, two hundred eighty".