7479680 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 2580480.

The previous prime is 7479631. The next prime is 7479683. The reversal of 7479680 is 869747.

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

It is a super-2 number, since 2×7479680² = 111891225804800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7479683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241265 + ... + 241295.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^7479680 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 7479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

7479680 is an abundant number, since it is smaller than the sum of its proper divisors (13083520).

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

7479680 is a wasteful number, since it uses less digits than its factorization.

7479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 7479680 is about 2734.9003638158. The cubic root of 7479680 is about 195.5664441442.

The spelling of 7479680 in words is "seven million, four hundred seventy-nine thousand, six hundred eighty".