675480100 has 81 divisors (see below), whose sum is σ = 1545972883. Its totient is φ = 256157440.

The previous prime is 675480079. The next prime is 675480109. The reversal of 675480100 is 1084576.

The square root of 675480100 is 25990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 343657444 + 331822656 = 18538^2 + 18216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (675480109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5977644 + ... + 5977756.

Almost surely, 2^675480100 is an apocalyptic number.

675480100 is the 25990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675480100

675480100 is an abundant number, since it is smaller than the sum of its proper divisors (870492783).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

675480100 is a wasteful number, since it uses less digits than its factorization.

675480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 675480100 is about 877.4132456447.

The spelling of 675480100 in words is "six hundred seventy-five million, four hundred eighty thousand, one hundred".