7827747480 has 192 divisors, whose sum is σ = 29197396800. Its totient is φ = 1781637120.

The previous prime is 7827747457. The next prime is 7827747553. The reversal of 7827747480 is 847477287.

7827747480 is a `hidden beast` number, since 78 + 27 + 7 + 474 + 80 = 666.

It is a super-2 number, since 2×7827747480² (a number of 21 digits) contains 22 as substring.

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, 600876 + ... + 613764.

It is an arithmetic number, because the mean of its divisors is an integer number (152069775).

Almost surely, 2^7827747480 is an apocalyptic number.

7827747480 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 7827747480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598698400).

7827747480 is an abundant number, since it is smaller than the sum of its proper divisors (21369649320).

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

7827747480 is a wasteful number, since it uses less digits than its factorization.

7827747480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13154 (or 13147 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The square root of 7827747480 is about 88474.5583769707. The cubic root of 7827747480 is about 1985.5413489227.

The spelling of 7827747480 in words is "seven billion, eight hundred twenty-seven million, seven hundred forty-seven thousand, four hundred eighty".