7267680 has 216 divisors, whose sum is σ = 29130192. Its totient is φ = 1645056.

The previous prime is 7267669. The next prime is 7267717. The reversal of 7267680 is 867627.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70509 + ... + 70611.

It is an arithmetic number, because the mean of its divisors is an integer number (134862).

Almost surely, 2^7267680 is an apocalyptic number.

7267680 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 7267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565096).

7267680 is an abundant number, since it is smaller than the sum of its proper divisors (21862512).

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

7267680 is a wasteful number, since it uses less digits than its factorization.

7267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7267680 is about 2695.8634980280. The cubic root of 7267680 is about 193.7010309821.

The spelling of 7267680 in words is "seven million, two hundred sixty-seven thousand, six hundred eighty".