7801200 has 180 divisors, whose sum is σ = 29683368. Its totient is φ = 1881600.

The previous prime is 7801169. The next prime is 7801207. The reversal of 7801200 is 21087.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7801207) 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 35 ways as a sum of consecutive naturals, for example, 39502 + ... + 39698.

Almost surely, 2^7801200 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 7801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14841684).

7801200 is an abundant number, since it is smaller than the sum of its proper divisors (21882168).

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

7801200 is a wasteful number, since it uses less digits than its factorization.

7801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7801200 is about 2793.0628349538. The cubic root of 7801200 is about 198.3294179644.

Adding to 7801200 its reverse (21087), we get a palindrome (7822287).

It can be divided in two parts, 7801 and 200, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7801200 in words is "seven million, eight hundred one thousand, two hundred".