7818980625 has 105 divisors (see below), whose sum is σ = 14761875469. Its totient is φ = 4138290000.

The previous prime is 7818980597. The next prime is 7818980639. The reversal of 7818980625 is 5260898187.

The square root of 7818980625 is 88425.

It is a perfect power (a square), and thus also a powerful number.

7818980625 is a `hidden beast` number, since 7 + 8 + 1 + 8 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 613008081 + 7205972544 = 24759^2 + 84888^2 .

It is not a de Polignac number, because 7818980625 - 2¹³ = 7818972433 is a prime.

It is a super-2 number, since 2×7818980625² (a number of 21 digits) contains 22 as substring.

It is a Duffinian 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 104 ways as a sum of consecutive naturals, for example, 59686810 + ... + 59686940.

Almost surely, 2^7818980625 is an apocalyptic number.

7818980625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7818980625 is the 88425-th square number.

7818980625 is the 44213-rd centered octagonal number.

It is an amenable number.

7818980625 is a deficient number, since it is larger than the sum of its proper divisors (6942894844).

7818980625 is an frugal number, since it uses more digits than its factorization.

7818980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The cubic root of 7818980625 is about 1984.7998220393.

The spelling of 7818980625 in words is "seven billion, eight hundred eighteen million, nine hundred eighty thousand, six hundred twenty-five".