8068800 has 126 divisors (see below), whose sum is σ = 27133804. Its totient is φ = 2099200.

The previous prime is 8068793. The next prime is 8068817. The reversal of 8068800 is 88608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196780 + ... + 196820.

Almost surely, 2^8068800 is an apocalyptic number.

8068800 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 8068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566902).

8068800 is an abundant number, since it is smaller than the sum of its proper divisors (19065004).

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

8068800 is a wasteful number, since it uses less digits than its factorization.

8068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8068800 is about 2840.5633244130. The cubic root of 8068800 is about 200.5716975856.

Multiplying 8068800 by its product of nonzero digits (3072), we get a square (24787353600 = 157440²).

The spelling of 8068800 in words is "eight million, sixty-eight thousand, eight hundred".