7538680 has 32 divisors (see below), whose sum is σ = 17056800. Its totient is φ = 2998656.

The previous prime is 7538651. The next prime is 7538683. The reversal of 7538680 is 868357.

It is a super-2 number, since 2×7538680² = 113663392284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7538683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8749 + ... + 9571.

It is an arithmetic number, because the mean of its divisors is an integer number (533025).

Almost surely, 2^7538680 is an apocalyptic number.

It is an amenable number.

7538680 is an abundant number, since it is smaller than the sum of its proper divisors (9518120).

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

7538680 is a wasteful number, since it uses less digits than its factorization.

7538680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 7538680 is about 2745.6656752052. The cubic root of 7538680 is about 196.0793098444.

It can be divided in two parts, 75386 and 80, that added together give a triangular number (75466 = T₃₈₈).

The spelling of 7538680 in words is "seven million, five hundred thirty-eight thousand, six hundred eighty".