7868736 has 84 divisors (see below), whose sum is σ = 23774400. Its totient is φ = 2481408.

The previous prime is 7868719. The next prime is 7868741. The reversal of 7868736 is 6378687.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (338688) is a multiple of the sum of its prime factors (756).

It is a junction number, because it is equal to n+sod(n) for n = 7868691 and 7868700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10585 + ... + 11303.

Almost surely, 2^7868736 is an apocalyptic number.

7868736 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887200).

7868736 is an abundant number, since it is smaller than the sum of its proper divisors (15905664).

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

7868736 is a wasteful number, since it uses less digits than its factorization.

7868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7868736 is about 2805.1267351049. The cubic root of 7868736 is about 198.9000954723.

The spelling of 7868736 in words is "seven million, eight hundred sixty-eight thousand, seven hundred thirty-six".