7827130080 has 576 divisors, whose sum is σ = 33791966208. Its totient is φ = 1602478080.

The previous prime is 7827130067. The next prime is 7827130117. The reversal of 7827130080 is 800317287.

7827130080 is a `hidden beast` number, since 7 + 8 + 271 + 300 + 80 = 666.

It is a super-2 number, since 2×7827130080² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8093757 + ... + 8094723.

It is an arithmetic number, because the mean of its divisors is an integer number (58666608).

Almost surely, 2^7827130080 is an apocalyptic number.

7827130080 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 7827130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895983104).

7827130080 is an abundant number, since it is smaller than the sum of its proper divisors (25964836128).

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

7827130080 is a wasteful number, since it uses less digits than its factorization.

7827130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7827130080 is about 88471.0691695313. The cubic root of 7827130080 is about 1985.4891455073.

The spelling of 7827130080 in words is "seven billion, eight hundred twenty-seven million, one hundred thirty thousand, eighty".