7868300 has 72 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 2728000.

The previous prime is 7868293. The next prime is 7868339. The reversal of 7868300 is 38687.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25145 + ... + 25455.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^7868300 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 7868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

7868300 is an abundant number, since it is smaller than the sum of its proper divisors (11630452).

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

7868300 is a wasteful number, since it uses less digits than its factorization.

7868300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7868300 is about 2805.0490191795. The cubic root of 7868300 is about 198.8964217758.

The spelling of 7868300 in words is "seven million, eight hundred sixty-eight thousand, three hundred".