7873900 has 36 divisors (see below), whose sum is σ = 17342640. Its totient is φ = 3102400.

The previous prime is 7873897. The next prime is 7873903. The reversal of 7873900 is 93787.

It is an interprime number because it is at equal distance from previous prime (7873897) and next prime (7873903).

It is not an unprimeable number, because it can be changed into a prime (7873903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6546 + ... + 7654.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 2^7873900 is an apocalyptic number.

7873900 is the 1775-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7873900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671320).

7873900 is an abundant number, since it is smaller than the sum of its proper divisors (9468740).

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

7873900 is a wasteful number, since it uses less digits than its factorization.

7873900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 7873900 is about 2806.0470416584. The cubic root of 7873900 is about 198.9435965499.

The spelling of 7873900 in words is "seven million, eight hundred seventy-three thousand, nine hundred".