7873600 has 168 divisors, whose sum is σ = 23936960. Its totient is φ = 2488320.

The previous prime is 7873589. The next prime is 7873603. The reversal of 7873600 is 63787.

7873600 is nontrivially palindromic in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7873603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 212782 + ... + 212818.

Almost surely, 2^7873600 is an apocalyptic number.

7873600 is a gapful number since it is divisible by the number (70) 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 7873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968480).

7873600 is an abundant number, since it is smaller than the sum of its proper divisors (16063360).

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

7873600 is a wasteful number, since it uses less digits than its factorization.

7873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 7873600 is about 2805.9935851673. The cubic root of 7873600 is about 198.9410698970.

The spelling of 7873600 in words is "seven million, eight hundred seventy-three thousand, six hundred".