7795840 has 64 divisors (see below), whose sum is σ = 20091960. Its totient is φ = 2875392.

The previous prime is 7795831. The next prime is 7795859. The reversal of 7795840 is 485977.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 5053504 = 1656^2 + 2248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7795793 and 7795802.

It is an unprimeable number.

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, 7852 + ... + 8788.

Almost surely, 2^7795840 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 7795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045980).

7795840 is an abundant number, since it is smaller than the sum of its proper divisors (12296120).

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

7795840 is a wasteful number, since it uses less digits than its factorization.

7795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 7795840 is about 2792.1031499570. The cubic root of 7795840 is about 198.2839852431.

The spelling of 7795840 in words is "seven million, seven hundred ninety-five thousand, eight hundred forty".