7573680 has 120 divisors (see below), whose sum is σ = 25978992. Its totient is φ = 1976832.

The previous prime is 7573679. The next prime is 7573691. The reversal of 7573680 is 863757.

7573680 is a `hidden beast` number, since 7 + 573 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48162 + ... + 48318.

Almost surely, 2^7573680 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 7573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12989496).

7573680 is an abundant number, since it is smaller than the sum of its proper divisors (18405312).

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

7573680 is a wasteful number, since it uses less digits than its factorization.

7573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7573680 is about 2752.0319765584. The cubic root of 7573680 is about 196.3822887257.

The spelling of 7573680 in words is "seven million, five hundred seventy-three thousand, six hundred eighty".