7863840 has 144 divisors (see below), whose sum is σ = 27675648. Its totient is φ = 2032128.

The previous prime is 7863833. The next prime is 7863851. The reversal of 7863840 is 483687.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 7863795 and 7863804.

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, 61857 + ... + 61983.

It is an arithmetic number, because the mean of its divisors is an integer number (192192).

Almost surely, 2^7863840 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 7863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837824).

7863840 is an abundant number, since it is smaller than the sum of its proper divisors (19811808).

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

7863840 is a wasteful number, since it uses less digits than its factorization.

7863840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7863840 is about 2804.2539114709. The cubic root of 7863840 is about 198.8588344231.

The spelling of 7863840 in words is "seven million, eight hundred sixty-three thousand, eight hundred forty".