7890625 has 16 divisors (see below), whose sum is σ = 9960912.
Its totient is φ = 6250000.
The previous prime is 7890611. The next prime is 7890661. The reversal of 7890625 is 5260987.
It can be written as a sum of positive squares in 8 ways, for example, as 7568001 + 322624 = 2751^2 + 568^2
It is a trimorphic number since its cube, 491285800933837890625, ends in 7890625.
It is a de Polignac number, because none of the positive numbers 2k-7890625 is a prime.
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is a Duffinian number.
7890625 is a lucky number.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78075 + ... + 78175.
It is an arithmetic number, because the mean of its divisors is an integer number (622557).
Almost surely, 27890625 is an apocalyptic number.
It is an amenable number.
7890625 is a deficient number, since it is larger than the sum of its proper divisors (2070287).
7890625 is an frugal number, since it uses more digits than its factorization.
7890625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 37.
The square root of 7890625 is about 2809.0256317805.
The cubic root of 7890625 is about 199.0843560447.
The spelling of 7890625 in words is "seven million, eight hundred ninety thousand, six hundred twenty-five".