8791200 has 288 divisors, whose sum is σ = 35622720. Its totient is φ = 2073600.

The previous prime is 8791187. The next prime is 8791219. The reversal of 8791200 is 21978.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 237582 + ... + 237618.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 2^8791200 is an apocalyptic number.

8791200 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 8791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

8791200 is an abundant number, since it is smaller than the sum of its proper divisors (26831520).

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

8791200 is a wasteful number, since it uses less digits than its factorization.

8791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8791200 is about 2964.9957841454. The cubic root of 8791200 is about 206.3871814646.

Multiplying 8791200 by its reverse (21978), we get a square (193212993600 = 439560²).

8791200 divided by its reverse (21978) gives a square (400 = 20²).

The spelling of 8791200 in words is "eight million, seven hundred ninety-one thousand, two hundred".