7827820625 has 20 divisors (see below), whose sum is σ = 9989802240. Its totient is φ = 6128994000.

The previous prime is 7827820619. The next prime is 7827820639. The reversal of 7827820625 is 5260287287.

It is not a de Polignac number, because 7827820625 - 2¹⁸ = 7827558481 is a prime.

It is a super-3 number, since 3×7827820625³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 7827820625.

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 19 ways as a sum of consecutive naturals, for example, 103865 + ... + 162614.

It is an arithmetic number, because the mean of its divisors is an integer number (499490112).

Almost surely, 2^7827820625 is an apocalyptic number.

It is an amenable number.

7827820625 is a deficient number, since it is larger than the sum of its proper divisors (2161981615).

7827820625 is an equidigital number, since it uses as much as digits as its factorization.

7827820625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266546 (or 266531 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 7827820625 is about 88474.9717434258. The cubic root of 7827820625 is about 1985.5475334166.

The spelling of 7827820625 in words is "seven billion, eight hundred twenty-seven million, eight hundred twenty thousand, six hundred twenty-five".