8130723840 has 272 divisors, whose sum is σ = 28940476800. Its totient is φ = 2165833728.

The previous prime is 8130723779. The next prime is 8130723851. The reversal of 8130723840 is 483270318.

8130723840 is a `hidden beast` number, since 81 + 307 + 238 + 40 = 666.

It is a super-2 number, since 2×8130723840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8130723795 and 8130723804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8846901 + ... + 8847819.

Almost surely, 2^8130723840 is an apocalyptic number.

8130723840 is a gapful number since it is divisible by the number (80) 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 8130723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470238400).

8130723840 is an abundant number, since it is smaller than the sum of its proper divisors (20809752960).

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

8130723840 is an frugal number, since it uses more digits than its factorization.

8130723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8130723840 is about 90170.5264485020. The cubic root of 8130723840 is about 2010.8348503468.

The spelling of 8130723840 in words is "eight billion, one hundred thirty million, seven hundred twenty-three thousand, eight hundred forty".