7533680 has 80 divisors (see below), whose sum is σ = 21855744. Its totient is φ = 2346240.

The previous prime is 7533667. The next prime is 7533689. The reversal of 7533680 is 863357.

It is a happy number.

7533680 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

7533680 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7533689) 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, 5549 + ... + 6771.

Almost surely, 2^7533680 is an apocalyptic number.

7533680 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 7533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927872).

7533680 is an abundant number, since it is smaller than the sum of its proper divisors (14322064).

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

7533680 is a wasteful number, since it uses less digits than its factorization.

7533680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 7533680 is about 2744.7549981738. The cubic root of 7533680 is about 196.0359506455.

The spelling of 7533680 in words is "seven million, five hundred thirty-three thousand, six hundred eighty".