7962816 has 56 divisors (see below), whose sum is σ = 21417280. Its totient is φ = 2610432.

The previous prime is 7962811. The next prime is 7962847. The reversal of 7962816 is 6182697.

7962816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7962811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12555 + ... + 13173.

Almost surely, 2^7962816 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 7962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10708640).

7962816 is an abundant number, since it is smaller than the sum of its proper divisors (13454464).

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

7962816 is a wasteful number, since it uses less digits than its factorization.

7962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 7962816 is about 2821.8462041720. The cubic root of 7962816 is about 199.6896520030.

It can be divided in two parts, 7962 and 816, that added together give a palindrome (8778).

The spelling of 7962816 in words is "seven million, nine hundred sixty-two thousand, eight hundred sixteen".