7840560 has 160 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 1649664.

The previous prime is 7840537. The next prime is 7840561. The reversal of 7840560 is 650487.

It is a happy number.

7840560 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7840560² = 122948762227200, which contains 22 as substring.

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

7840560 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7840561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21661 + ... + 22019.

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

Almost surely, 2^7840560 is an apocalyptic number.

7840560 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 7840560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

7840560 is an abundant number, since it is smaller than the sum of its proper divisors (22157520).

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

7840560 is a wasteful number, since it uses less digits than its factorization.

7840560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

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

The square root of 7840560 is about 2800.0999982143. The cubic root of 7840560 is about 198.6624075079.

The spelling of 7840560 in words is "seven million, eight hundred forty thousand, five hundred sixty".