7915840 has 56 divisors (see below), whose sum is σ = 19522440. Its totient is φ = 3053568.

The previous prime is 7915801. The next prime is 7915847. The reversal of 7915840 is 485197.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 7884864 = 176^2 + 2808^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7915796 and 7915805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7915847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8854 + ... + 9706.

It is an arithmetic number, because the mean of its divisors is an integer number (348615).

Almost surely, 2^7915840 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 7915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761220).

7915840 is an abundant number, since it is smaller than the sum of its proper divisors (11606600).

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

7915840 is a wasteful number, since it uses less digits than its factorization.

7915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 7915840 is about 2813.5102629989. The cubic root of 7915840 is about 199.2961928494.

The spelling of 7915840 in words is "seven million, nine hundred fifteen thousand, eight hundred forty".