7420800 has 96 divisors (see below), whose sum is σ = 24473880. Its totient is φ = 1976320.

The previous prime is 7420769. The next prime is 7420801. The reversal of 7420800 is 80247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7420801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9214 + ... + 9986.

Almost surely, 2^7420800 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 7420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236940).

7420800 is an abundant number, since it is smaller than the sum of its proper divisors (17053080).

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

7420800 is a wasteful number, since it uses less digits than its factorization.

7420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 7420800 is about 2724.1145350370. The cubic root of 7420800 is about 195.0519256852.

The spelling of 7420800 in words is "seven million, four hundred twenty thousand, eight hundred".