7867900 has 72 divisors (see below), whose sum is σ = 18592560. Its totient is φ = 2880000.

The previous prime is 7867897. The next prime is 7867901. The reversal of 7867900 is 97687.

7867900 is nontrivially palindromic in base 13.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7867900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7867901) 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 23 ways as a sum of consecutive naturals, for example, 77850 + ... + 77950.

It is an arithmetic number, because the mean of its divisors is an integer number (258230).

Almost surely, 2^7867900 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 7867900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296280).

7867900 is an abundant number, since it is smaller than the sum of its proper divisors (10724660).

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

7867900 is a wasteful number, since it uses less digits than its factorization.

7867900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 7867900 is about 2804.9777182716. The cubic root of 7867900 is about 198.8930512927.

The spelling of 7867900 in words is "seven million, eight hundred sixty-seven thousand, nine hundred".