7856912 has 80 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 3118080.

The previous prime is 7856911. The next prime is 7856921. The reversal of 7856912 is 2196587.

7856912 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 7⁸ + 8³ + 5⁹ + 6⁶ + 9⁵ + 1 + 2¹⁵ .

Its product of digits (30240) is a multiple of the sum of its prime factors (144).

7856912 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7856911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133139 + ... + 133197.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^7856912 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 7856912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

7856912 is an abundant number, since it is smaller than the sum of its proper divisors (10891888).

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

7856912 is a wasteful number, since it uses less digits than its factorization.

7856912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 7856912 is about 2803.0183731114. The cubic root of 7856912 is about 198.8004194170.

The spelling of 7856912 in words is "seven million, eight hundred fifty-six thousand, nine hundred twelve".