7862816 has 48 divisors (see below), whose sum is σ = 17114328. Its totient is φ = 3532800.

The previous prime is 7862801. The next prime is 7862819. The reversal of 7862816 is 6182687.

It can be written as a sum of positive squares in 4 ways, for example, as 2572816 + 5290000 = 1604^2 + 2300^2 .

It is a d-powerful number, because it can be written as 7⁸ + 8³ + 6 + 2⁷ + 8⁷ + 1 + 6³ .

It is a self number, because there is not a number n which added to its sum of digits gives 7862816.

It is not an unprimeable number, because it can be changed into a prime (7862819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16826 + ... + 17286.

Almost surely, 2^7862816 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 7862816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557164).

7862816 is an abundant number, since it is smaller than the sum of its proper divisors (9251512).

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

7862816 is a wasteful number, since it uses less digits than its factorization.

7862816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 7862816 is about 2804.0713257690. The cubic root of 7862816 is about 198.8502024958.

The spelling of 7862816 in words is "seven million, eight hundred sixty-two thousand, eight hundred sixteen".