7855968 has 96 divisors (see below), whose sum is σ = 22377600. Its totient is φ = 2405376.

The previous prime is 7855931. The next prime is 7855973. The reversal of 7855968 is 8695587.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107580 + ... + 107652.

It is an arithmetic number, because the mean of its divisors is an integer number (233100).

Almost surely, 2^7855968 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 7855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11188800).

7855968 is an abundant number, since it is smaller than the sum of its proper divisors (14521632).

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

7855968 is a wasteful number, since it uses less digits than its factorization.

7855968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 7855968 is about 2802.8499781472. The cubic root of 7855968 is about 198.7924572086.

The spelling of 7855968 in words is "seven million, eight hundred fifty-five thousand, nine hundred sixty-eight".