7351680 has 128 divisors (see below), whose sum is σ = 26830080. Its totient is φ = 1677312.

The previous prime is 7351679. The next prime is 7351691. The reversal of 7351680 is 861537.

7351680 = 25² + 26² + ... + 280².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13167 + ... + 13713.

It is an arithmetic number, because the mean of its divisors is an integer number (209610).

Almost surely, 2^7351680 is an apocalyptic number.

7351680 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 7351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415040).

7351680 is an abundant number, since it is smaller than the sum of its proper divisors (19478400).

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

7351680 is a wasteful number, since it uses less digits than its factorization.

7351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 7351680 is about 2711.3981633098. The cubic root of 7351680 is about 194.4444410582. Note that the first 5 decimals are identical.

It can be divided in two parts, 735 and 1680, that added together give a triangular number (2415 = T₆₉).

The spelling of 7351680 in words is "seven million, three hundred fifty-one thousand, six hundred eighty".