10778760 has 96 divisors (see below), whose sum is σ = 35568000. Its totient is φ = 2830464.

The previous prime is 10778753. The next prime is 10778773. The reversal of 10778760 is 6787701.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28251 + ... + 28629.

It is an arithmetic number, because the mean of its divisors is an integer number (370500).

Almost surely, 2^10778760 is an apocalyptic number.

10778760 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 10778760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784000).

10778760 is an abundant number, since it is smaller than the sum of its proper divisors (24789240).

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

10778760 is a wasteful number, since it uses less digits than its factorization.

10778760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 10778760 is about 3283.1021915256. The cubic root of 10778760 is about 220.8968895821.

The spelling of 10778760 in words is "ten million, seven hundred seventy-eight thousand, seven hundred sixty".