78125128 has 16 divisors (see below), whose sum is σ = 146680380. Its totient is φ = 39010368.

The previous prime is 78125119. The next prime is 78125129. The reversal of 78125128 is 82152187.

It can be written as a sum of positive squares in 2 ways, for example, as 78110244 + 14884 = 8838^2 + 122^2 .

It is a sliding number, since 78125128 = 128 + 78125000 and 1/128 + 1/78125000 = 0.0078125128.

It is a super-2 number, since 2×78125128² = 12207071250032768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78125093 and 78125102.

It is not an unprimeable number, because it can be changed into a prime (78125129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250 + ... + 12502.

Almost surely, 2^78125128 is an apocalyptic number.

It is an amenable number.

78125128 is a deficient number, since it is larger than the sum of its proper divisors (68555252).

78125128 is a wasteful number, since it uses less digits than its factorization.

78125128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13056 (or 13052 counting only the distinct ones).

The product of its digits is 8960, while the sum is 34.

The square root of 78125128 is about 8838.8420056023. The cubic root of 78125128 is about 427.4942201378.

It can be divided in two parts, 78125 and 128, that multiplied together give a 7-th power (10000000 = 10⁷).

The spelling of 78125128 in words is "seventy-eight million, one hundred twenty-five thousand, one hundred twenty-eight".