7842816 has 132 divisors (see below), whose sum is σ = 24269232. Its totient is φ = 2433024.

The previous prime is 7842803. The next prime is 7842823. The reversal of 7842816 is 6182487.

7842816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211950 + ... + 211986.

Almost surely, 2^7842816 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 7842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134616).

7842816 is an abundant number, since it is smaller than the sum of its proper divisors (16426416).

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

7842816 is a wasteful number, since it uses less digits than its factorization.

7842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7842816 is about 2800.5028119964. The cubic root of 7842816 is about 198.6814596935.

Subtracting from 7842816 its sum of digits (36), we obtain a triangular number (7842780 = T₃₉₆₀).

It can be divided in two parts, 784 and 2816, that added together give a square (3600 = 60²).

The spelling of 7842816 in words is "seven million, eight hundred forty-two thousand, eight hundred sixteen".