10778768 has 80 divisors (see below), whose sum is σ = 28081536. Its totient is φ = 3870720.

The previous prime is 10778753. The next prime is 10778773. The reversal of 10778768 is 86787701.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15680 + ... + 16352.

Almost surely, 2^10778768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10778768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040768).

10778768 is an abundant number, since it is smaller than the sum of its proper divisors (17302768).

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

10778768 is a wasteful number, since it uses less digits than its factorization.

10778768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 44.

The square root of 10778768 is about 3283.1034098852. The cubic root of 10778768 is about 220.8969442320.

The spelling of 10778768 in words is "ten million, seven hundred seventy-eight thousand, seven hundred sixty-eight".