20078125 has 16 divisors (see below), whose sum is σ = 25195248. Its totient is φ = 16000000.

The previous prime is 20078101. The next prime is 20078131. The reversal of 20078125 is 52187002.

It can be written as a sum of positive squares in 8 ways, for example, as 19527561 + 550564 = 4419^2 + 742^2 .

It is not a de Polignac number, because 20078125 - 2⁷ = 20077997 is a prime.

It is a super-2 number, since 2×20078125² = 806262207031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20078125.

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 15 ways as a sum of consecutive naturals, for example, 77997 + ... + 78253.

It is an arithmetic number, because the mean of its divisors is an integer number (1574703).

Almost surely, 2^20078125 is an apocalyptic number.

20078125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20078125 is a deficient number, since it is larger than the sum of its proper divisors (5117123).

20078125 is an frugal number, since it uses more digits than its factorization.

20078125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 20078125 is about 4480.8620822337. The cubic root of 20078125 is about 271.7947422414.

It can be divided in two parts, 200 and 78125, that multiplied together give a cube (15625000 = 250³).

The spelling of 20078125 in words is "twenty million, seventy-eight thousand, one hundred twenty-five".