7978955625 has 75 divisors (see below), whose sum is σ = 14931819507. Its totient is φ = 4244724000.

The previous prime is 7978955617. The next prime is 7978955659. The reversal of 7978955625 is 5265598797.

The square root of 7978955625 is 89325.

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

7978955625 is a `hidden beast` number, since 7 + 9 + 78 + 9 + 556 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4861296729 + 3117658896 = 69723^2 + 55836^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 7978955625 - 2³ = 7978955617 is a prime.

Its product of digits (47628000) is a multiple of the sum of its prime divisors (405).

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 74 ways as a sum of consecutive naturals, for example, 20097927 + ... + 20098323.

Almost surely, 2^7978955625 is an apocalyptic number.

7978955625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7978955625 is the 89325-th square number.

7978955625 is the 44663-rd centered octagonal number.

It is an amenable number.

7978955625 is a deficient number, since it is larger than the sum of its proper divisors (6952863882).

7978955625 is an frugal number, since it uses more digits than its factorization.

7978955625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 405 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 63.

The cubic root of 7978955625 is about 1998.2447621039.

The spelling of 7978955625 in words is "seven billion, nine hundred seventy-eight million, nine hundred fifty-five thousand, six hundred twenty-five".