7421680 has 80 divisors (see below), whose sum is σ = 20445120. Its totient is φ = 2451456.

The previous prime is 7421677. The next prime is 7421681. The reversal of 7421680 is 861247.

7421680 = 466² + 467² + ... + 497².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7421681) 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 15 ways as a sum of consecutive naturals, for example, 16012 + ... + 16468.

It is an arithmetic number, because the mean of its divisors is an integer number (255564).

Almost surely, 2^7421680 is an apocalyptic number.

7421680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10222560).

7421680 is an abundant number, since it is smaller than the sum of its proper divisors (13023440).

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

7421680 is a wasteful number, since it uses less digits than its factorization.

7421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7421680 is about 2724.2760506234. The cubic root of 7421680 is about 195.0596354968.

The spelling of 7421680 in words is "seven million, four hundred twenty-one thousand, six hundred eighty".