7853040 has 120 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 1930752.

The previous prime is 7853039. The next prime is 7853059. The reversal of 7853040 is 403587.

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

It is a junction number, because it is equal to n+sod(n) for n = 7852995 and 7853013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8941 + ... + 9779.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^7853040 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 7853040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

7853040 is an abundant number, since it is smaller than the sum of its proper divisors (20582640).

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

7853040 is a wasteful number, since it uses less digits than its factorization.

7853040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7853040 is about 2802.3276039750. The cubic root of 7853040 is about 198.7677568091.

The spelling of 7853040 in words is "seven million, eight hundred fifty-three thousand, forty".