7680500 has 24 divisors (see below), whose sum is σ = 16775304. Its totient is φ = 3072000.

The previous prime is 7680493. The next prime is 7680509. The reversal of 7680500 is 50867.

It can be written as a sum of positive squares in 4 ways, for example, as 40804 + 7639696 = 202^2 + 2764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7680500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7181 + ... + 8180.

It is an arithmetic number, because the mean of its divisors is an integer number (698971).

Almost surely, 2^7680500 is an apocalyptic number.

It is an amenable number.

7680500 is an abundant number, since it is smaller than the sum of its proper divisors (9094804).

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

7680500 is a wasteful number, since it uses less digits than its factorization.

7680500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380 (or 15368 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 7680500 is about 2771.3715016215. The cubic root of 7680500 is about 197.3012474717.

The spelling of 7680500 in words is "seven million, six hundred eighty thousand, five hundred".