784613125 has 40 divisors (see below), whose sum is σ = 1029889080. Its totient is φ = 596736000.

The previous prime is 784613117. The next prime is 784613149. The reversal of 784613125 is 521316487.

784613125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 749554884 + 35058241 = 27378^2 + 5921^2 .

It is not a de Polignac number, because 784613125 - 2³ = 784613117 is a prime.

It is a super-3 number, since 3×784613125³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1322829 + ... + 1323421.

It is an arithmetic number, because the mean of its divisors is an integer number (25747227).

Almost surely, 2^784613125 is an apocalyptic number.

It is an amenable number.

784613125 is a deficient number, since it is larger than the sum of its proper divisors (245275955).

784613125 is an equidigital number, since it uses as much as digits as its factorization.

784613125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 784613125 is about 28010.9465209586. The cubic root of 784613125 is about 922.3275676958.

It can be divided in two parts, 78 and 4613125, that added together give a triangular number (4613203 = T₃₀₃₇).

The spelling of 784613125 in words is "seven hundred eighty-four million, six hundred thirteen thousand, one hundred twenty-five".