78554075625 has 135 divisors (see below), whose sum is σ = 147181147113. Its totient is φ = 40359600000.

The previous prime is 78554075623. The next prime is 78554075657. The reversal of 78554075625 is 52657045587.

The square root of 78554075625 is 280275.

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

78554075625 is a `hidden beast` number, since 7 + 8 + 5 + 5 + 4 + 0 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 41477802921 + 37076272704 = 203661^2 + 192552^2 .

It is not a de Polignac number, because 78554075625 - 2¹ = 78554075623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78554075623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 777763075 + ... + 777763175.

Almost surely, 2^78554075625 is an apocalyptic number.

78554075625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78554075625 is the 280275-th square number.

78554075625 is the 140138-th centered octagonal number.

It is an amenable number.

78554075625 is a deficient number, since it is larger than the sum of its proper divisors (68627071488).

78554075625 is an equidigital number, since it uses as much as digits as its factorization.

78554075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 78554075625 in words is "seventy-eight billion, five hundred fifty-four million, seventy-five thousand, six hundred twenty-five".