8078240 has 48 divisors (see below), whose sum is σ = 19754280. Its totient is φ = 3118080.

The previous prime is 8078237. The next prime is 8078243. The reversal of 8078240 is 428708.

It is an interprime number because it is at equal distance from previous prime (8078237) and next prime (8078243).

It can be written as a sum of positive squares in 4 ways, for example, as 3701776 + 4376464 = 1924^2 + 2092^2 .

It is a super-2 number, since 2×8078240² = 130515922995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (8078243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3770 + ... + 5510.

Almost surely, 2^8078240 is an apocalyptic number.

8078240 is a gapful number since it is divisible by the number (80) 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 8078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877140).

8078240 is an abundant number, since it is smaller than the sum of its proper divisors (11676040).

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

8078240 is a wasteful number, since it uses less digits than its factorization.

8078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8078240 is about 2842.2244809304. The cubic root of 8078240 is about 200.6498859539.

The spelling of 8078240 in words is "eight million, seventy-eight thousand, two hundred forty".