7865220 has 96 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 1792000.

The previous prime is 7865171. The next prime is 7865257. The reversal of 7865220 is 225687.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 7⁸ + 8 + 6 + 5⁵ + 2⁷ + 2²¹ + 0 .

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, 10870 + ... + 11570.

It is an arithmetic number, because the mean of its divisors is an integer number (265356).

Almost surely, 2^7865220 is an apocalyptic number.

It is a pronic number, being equal to 2804×2805.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7865220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

7865220 is an abundant number, since it is smaller than the sum of its proper divisors (17608956).

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

7865220 is a wasteful number, since it uses less digits than its factorization.

7865220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7865220 is about 2804.4999554288. The cubic root of 7865220 is about 198.8704661085.

It can be divided in two parts, 786 and 5220, that added together give a palindrome (6006).

The spelling of 7865220 in words is "seven million, eight hundred sixty-five thousand, two hundred twenty".