7340400 has 90 divisors (see below), whose sum is σ = 25485720. Its totient is φ = 1956480.

The previous prime is 7340383. The next prime is 7340419. The reversal of 7340400 is 40437.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2581 + ... + 4619.

Almost surely, 2^7340400 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 7340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742860).

7340400 is an abundant number, since it is smaller than the sum of its proper divisors (18145320).

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

7340400 is a wasteful number, since it uses less digits than its factorization.

7340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 7340400 is about 2709.3172571702. The cubic root of 7340400 is about 194.3449419855.

Adding to 7340400 its reverse (40437), we get a palindrome (7380837).

The spelling of 7340400 in words is "seven million, three hundred forty thousand, four hundred".