785090125 has 16 divisors (see below), whose sum is σ = 982932912. Its totient is φ = 626059200.

The previous prime is 785090123. The next prime is 785090147. The reversal of 785090125 is 521090587.

785090125 is a nontrivial binomial coefficient, being equal to C(39626, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 705327364 + 79762761 = 26558^2 + 8931^2 .

It is not a de Polignac number, because 785090125 - 2¹ = 785090123 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785090123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29719 + ... + 49531.

It is an arithmetic number, because the mean of its divisors is an integer number (61433307).

Almost surely, 2^785090125 is an apocalyptic number.

785090125 is the 39625-th triangular number and also the 19813-rd hexagonal number.

785090125 is the 13209-th centered nonagonal number.

It is an amenable number.

785090125 is a deficient number, since it is larger than the sum of its proper divisors (197842787).

785090125 is a wasteful number, since it uses less digits than its factorization.

785090125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145 (or 20135 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 785090125 is about 28019.4597556769. The cubic root of 785090125 is about 922.5144373394.

The spelling of 785090125 in words is "seven hundred eighty-five million, ninety thousand, one hundred twenty-five".