7240800 has 144 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 1651200.

The previous prime is 7240799. The next prime is 7240811. The reversal of 7240800 is 80427.

It is a happy number.

7240800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16585 + ... + 17015.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^7240800 is an apocalyptic number.

7240800 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 7240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

7240800 is an abundant number, since it is smaller than the sum of its proper divisors (19757472).

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

7240800 is a wasteful number, since it uses less digits than its factorization.

7240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

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

The square root of 7240800 is about 2690.8734641376. The cubic root of 7240800 is about 193.4619305619.

The spelling of 7240800 in words is "seven million, two hundred forty thousand, eight hundred".