8768800 has 72 divisors (see below), whose sum is σ = 21818916. Its totient is φ = 3440640.

The previous prime is 8768789. The next prime is 8768801. The reversal of 8768800 is 88678.

8768800 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 725904 + 8042896 = 852^2 + 2836^2 .

It is a super-3 number, since 3×8768800³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8768800.

It is not an unprimeable number, because it can be changed into a prime (8768801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77544 + ... + 77656.

Almost surely, 2^8768800 is an apocalyptic number.

8768800 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 8768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909458).

8768800 is an abundant number, since it is smaller than the sum of its proper divisors (13050116).

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

8768800 is a wasteful number, since it uses less digits than its factorization.

8768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 8768800 is about 2961.2159664570. The cubic root of 8768800 is about 206.2117406842.

It can be divided in two parts, 8 and 768800, that multiplied together give a square (6150400 = 2480²).

The spelling of 8768800 in words is "eight million, seven hundred sixty-eight thousand, eight hundred".