7985340 has 144 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 1866240.

The previous prime is 7985323. The next prime is 7985381. The reversal of 7985340 is 435897.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7985295 and 7985304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73206 + ... + 73314.

It is an arithmetic number, because the mean of its divisors is an integer number (190190).

Almost surely, 2^7985340 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 7985340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

7985340 is an abundant number, since it is smaller than the sum of its proper divisors (19402020).

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

7985340 is a wasteful number, since it uses less digits than its factorization.

7985340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7985340 is about 2825.8343900519. The cubic root of 7985340 is about 199.8777586338.

The spelling of 7985340 in words is "seven million, nine hundred eighty-five thousand, three hundred forty".