7680200 has 48 divisors (see below), whose sum is σ = 19485360. Its totient is φ = 2792000.

The previous prime is 7680191. The next prime is 7680217. The reversal of 7680200 is 20867.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455 + ... + 3945.

It is an arithmetic number, because the mean of its divisors is an integer number (405945).

Almost surely, 2^7680200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9742680).

7680200 is an abundant number, since it is smaller than the sum of its proper divisors (11805160).

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

7680200 is a wasteful number, since it uses less digits than its factorization.

7680200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 7680200 is about 2771.3173762671. The cubic root of 7680200 is about 197.2986785788.

The spelling of 7680200 in words is "seven million, six hundred eighty thousand, two hundred".