10768800 has 144 divisors (see below), whose sum is σ = 40122432. Its totient is φ = 2457600.

The previous prime is 10768799. The next prime is 10768817. The reversal of 10768800 is 886701.

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 23 ways as a sum of consecutive naturals, for example, 16480 + ... + 17120.

It is an arithmetic number, because the mean of its divisors is an integer number (278628).

Almost surely, 2^10768800 is an apocalyptic number.

10768800 is a gapful number since it is divisible by the number (10) 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 10768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061216).

10768800 is an abundant number, since it is smaller than the sum of its proper divisors (29353632).

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

10768800 is a wasteful number, since it uses less digits than its factorization.

10768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10768800 is about 3281.5849829008. The cubic root of 10768800 is about 220.8288294639.

The spelling of 10768800 in words is "ten million, seven hundred sixty-eight thousand, eight hundred".