10778380 has 48 divisors (see below), whose sum is σ = 23595264. Its totient is φ = 4132800.

The previous prime is 10778351. The next prime is 10778387. The reversal of 10778380 is 8387701.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10778387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71305 + ... + 71455.

It is an arithmetic number, because the mean of its divisors is an integer number (491568).

Almost surely, 2^10778380 is an apocalyptic number.

10778380 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 10778380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797632).

10778380 is an abundant number, since it is smaller than the sum of its proper divisors (12816884).

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

10778380 is a wasteful number, since it uses less digits than its factorization.

10778380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 10778380 is about 3283.0443189211. The cubic root of 10778380 is about 220.8942936804.

It can be divided in two parts, 107 and 78380, that added together give a palindrome (78487).

The spelling of 10778380 in words is "ten million, seven hundred seventy-eight thousand, three hundred eighty".