7280800 has 72 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 2753280.

The previous prime is 7280771. The next prime is 7280807. The reversal of 7280800 is 80827.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7280807) 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, 14961 + ... + 15439.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^7280800 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 7280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

7280800 is an abundant number, since it is smaller than the sum of its proper divisors (11468000).

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

7280800 is a wasteful number, since it uses less digits than its factorization.

7280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 7280800 is about 2698.2957584372. The cubic root of 7280800 is about 193.8175206915.

The spelling of 7280800 in words is "seven million, two hundred eighty thousand, eight hundred".