7997040 has 120 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 2053632.

The previous prime is 7997029. The next prime is 7997047. The reversal of 7997040 is 407997.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 7996986 and 7997004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7997047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20689 + ... + 21071.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^7997040 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 7997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

7997040 is an abundant number, since it is smaller than the sum of its proper divisors (19858320).

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

7997040 is a wasteful number, since it uses less digits than its factorization.

7997040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7997040 is about 2827.9038173177. The cubic root of 7997040 is about 199.9753302905.

The spelling of 7997040 in words is "seven million, nine hundred ninety-seven thousand, forty".