7340800 has 108 divisors (see below), whose sum is σ = 19262656. Its totient is φ = 2764800.

The previous prime is 7340779. The next prime is 7340803. The reversal of 7340800 is 80437.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7340803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198382 + ... + 198418.

Almost surely, 2^7340800 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 7340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631328).

7340800 is an abundant number, since it is smaller than the sum of its proper divisors (11921856).

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

7340800 is a wasteful number, since it uses less digits than its factorization.

7340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 7340800 is about 2709.3910755002. The cubic root of 7340800 is about 194.3484720640.

The spelling of 7340800 in words is "seven million, three hundred forty thousand, eight hundred".