7921680 has 80 divisors (see below), whose sum is σ = 26456640. Its totient is φ = 1949184.

The previous prime is 7921679. The next prime is 7921687. The reversal of 7921680 is 861297.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7921687) 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, 1851 + ... + 4389.

It is an arithmetic number, because the mean of its divisors is an integer number (330708).

Almost surely, 2^7921680 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 7921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228320).

7921680 is an abundant number, since it is smaller than the sum of its proper divisors (18534960).

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

7921680 is a wasteful number, since it uses less digits than its factorization.

7921680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7921680 is about 2814.5479210701. The cubic root of 7921680 is about 199.3451918042.

The spelling of 7921680 in words is "seven million, nine hundred twenty-one thousand, six hundred eighty".