7827065766 has 48 divisors (see below), whose sum is σ = 18756772944. Its totient is φ = 2343235392.

The previous prime is 7827065737. The next prime is 7827065891. The reversal of 7827065766 is 6675607287.

It is a super-2 number, since 2×7827065766² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443356 + ... + 460671.

It is an arithmetic number, because the mean of its divisors is an integer number (390766103).

Almost surely, 2^7827065766 is an apocalyptic number.

7827065766 is an abundant number, since it is smaller than the sum of its proper divisors (10929707178).

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

7827065766 is a wasteful number, since it uses less digits than its factorization.

7827065766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904085 (or 904082 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 7827065766 is about 88470.7056940319. The cubic root of 7827065766 is about 1985.4837073669.

The spelling of 7827065766 in words is "seven billion, eight hundred twenty-seven million, sixty-five thousand, seven hundred sixty-six".