78057125 has 32 divisors (see below), whose sum is σ = 102716640. Its totient is φ = 59136000.

The previous prime is 78057107. The next prime is 78057131. The reversal of 78057125 is 52175087.

It can be written as a sum of positive squares in 16 ways, for example, as 73805281 + 4251844 = 8591^2 + 2062^2 .

It is not a de Polignac number, because 78057125 - 2⁶ = 78057061 is a prime.

It is a Curzon number.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 220949 + ... + 221301.

It is an arithmetic number, because the mean of its divisors is an integer number (3209895).

Almost surely, 2^78057125 is an apocalyptic number.

It is an amenable number.

78057125 is a deficient number, since it is larger than the sum of its proper divisors (24659515).

78057125 is a wasteful number, since it uses less digits than its factorization.

78057125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 78057125 is about 8834.9943406886. The cubic root of 78057125 is about 427.3701485402.

The spelling of 78057125 in words is "seventy-eight million, fifty-seven thousand, one hundred twenty-five".