7280820 has 96 divisors (see below), whose sum is σ = 23049600. Its totient is φ = 1907712.

The previous prime is 7280809. The next prime is 7280831. The reversal of 7280820 is 280827.

7280820 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7280809) and next prime (7280831).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52311 + ... + 52449.

It is an arithmetic number, because the mean of its divisors is an integer number (240100).

Almost surely, 2^7280820 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 7280820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524800).

7280820 is an abundant number, since it is smaller than the sum of its proper divisors (15768780).

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

7280820 is a wasteful number, since it uses less digits than its factorization.

7280820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7280820 is about 2698.2994644776. The cubic root of 7280820 is about 193.8176981604.

It can be divided in two parts, 7280 and 820, that added together give a square (8100 = 90²).

The spelling of 7280820 in words is "seven million, two hundred eighty thousand, eight hundred twenty".