7297680 has 80 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 1795584.

The previous prime is 7297669. The next prime is 7297681. The reversal of 7297680 is 867927.

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

It is a super-2 number, since 2×7297680² = 106512266764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7297681) 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, 1951 + ... + 4289.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^7297680 is an apocalyptic number.

7297680 is the 1560-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

7297680 is an abundant number, since it is smaller than the sum of its proper divisors (17075760).

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

7297680 is a wasteful number, since it uses less digits than its factorization.

7297680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7297680 is about 2701.4218478424. The cubic root of 7297680 is about 193.9671889811.

The spelling of 7297680 in words is "seven million, two hundred ninety-seven thousand, six hundred eighty".