7680100 has 18 divisors (see below), whose sum is σ = 16666034. Its totient is φ = 3072000.

The previous prime is 7680067. The next prime is 7680103. The reversal of 7680100 is 10867.

It can be written as a sum of positive squares in 3 ways, for example, as 2119936 + 5560164 = 1456^2 + 2358^2 .

It is not an unprimeable number, because it can be changed into a prime (7680103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38301 + ... + 38500.

Almost surely, 2^7680100 is an apocalyptic number.

It is an amenable number.

7680100 is an abundant number, since it is smaller than the sum of its proper divisors (8985934).

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

7680100 is a wasteful number, since it uses less digits than its factorization.

7680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76815 (or 76808 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 7680100 is about 2771.2993342474. The cubic root of 7680100 is about 197.2978222664.

Adding to 7680100 its reverse (10867), we get a palindrome (7690967).

The spelling of 7680100 in words is "seven million, six hundred eighty thousand, one hundred".