7321680 has 60 divisors (see below), whose sum is σ = 24591060. Its totient is φ = 1952256.

The previous prime is 7321663. The next prime is 7321687. The reversal of 7321680 is 861237.

7321680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 2286144 = 2244^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7321687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4365 + ... + 5804.

It is an arithmetic number, because the mean of its divisors is an integer number (409851).

Almost surely, 2^7321680 is an apocalyptic number.

It is an amenable number.

7321680 is an abundant number, since it is smaller than the sum of its proper divisors (17269380).

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

7321680 is a wasteful number, since it uses less digits than its factorization.

7321680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7321680 is about 2705.8603068156. The cubic root of 7321680 is about 194.1795906674.

It can be divided in two parts, 7321 and 680, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7321680 in words is "seven million, three hundred twenty-one thousand, six hundred eighty".