7827766791840 has 288 divisors, whose sum is σ = 27357367551696. Its totient is φ = 2037582397440.

The previous prime is 7827766791827. The next prime is 7827766791881. The reversal of 7827766791840 is 481976677287.

It can be written as a sum of positive squares in 8 ways, for example, as 1807594203024 + 6020172588816 = 1344468^2 + 2453604^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7827766791840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9812800 + ... + 10580480.

Almost surely, 2^{7827766791840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7827766791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13678683775848).

7827766791840 is an abundant number, since it is smaller than the sum of its proper divisors (19529600759856).

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

7827766791840 is a wasteful number, since it uses less digits than its factorization.

7827766791840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767872 (or 767861 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 7827766791840 in words is "seven trillion, eight hundred twenty-seven billion, seven hundred sixty-six million, seven hundred ninety-one thousand, eight hundred forty".