8761200 has 180 divisors, whose sum is σ = 32866200. Its totient is φ = 1989120.

The previous prime is 8761177. The next prime is 8761213. The reversal of 8761200 is 21678.

8761200 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

8761200 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58726 + ... + 58874.

It is an arithmetic number, because the mean of its divisors is an integer number (182590).

Almost surely, 2^8761200 is an apocalyptic number.

8761200 is a gapful number since it is divisible by the number (80) 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 8761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16433100).

8761200 is an abundant number, since it is smaller than the sum of its proper divisors (24105000).

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

8761200 is a wasteful number, since it uses less digits than its factorization.

8761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 8761200 is about 2959.9324316612. The cubic root of 8761200 is about 206.1521482573.

Adding to 8761200 its reverse (21678), we get a palindrome (8782878).

The spelling of 8761200 in words is "eight million, seven hundred sixty-one thousand, two hundred".