7447680 has 128 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 1981440.

The previous prime is 7447669. The next prime is 7447681. The reversal of 7447680 is 867447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7447681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17065 + ... + 17495.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^7447680 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 7447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

7447680 is an abundant number, since it is smaller than the sum of its proper divisors (18990720).

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

7447680 is a wasteful number, since it uses less digits than its factorization.

7447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7447680 is about 2729.0437885824. The cubic root of 7447680 is about 195.2871509075.

The spelling of 7447680 in words is "seven million, four hundred forty-seven thousand, six hundred eighty".