7057680100 has 81 divisors (see below), whose sum is σ = 15883750953. Its totient is φ = 2721924000.

The previous prime is 7057680079. The next prime is 7057680109. The reversal of 7057680100 is 10867507.

The square root of 7057680100 is 84010.

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

It can be written as a sum of positive squares in only one way, i.e., 2540764836 + 4516915264 = 50406^2 + 67208^2 .

It is not an unprimeable number, because it can be changed into a prime (7057680109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26042965 + ... + 26043235.

Almost surely, 2^7057680100 is an apocalyptic number.

7057680100 is the 84010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7057680100

7057680100 is an abundant number, since it is smaller than the sum of its proper divisors (8826070853).

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

7057680100 is a wasteful number, since it uses less digits than its factorization.

7057680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The cubic root of 7057680100 is about 1918.1710103577.

The spelling of 7057680100 in words is "seven billion, fifty-seven million, six hundred eighty thousand, one hundred".