1778107968 has 168 divisors, whose sum is σ = 6272954688. Its totient is φ = 468937728.

The previous prime is 1778107963. The next prime is 1778107987. The reversal of 1778107968 is 8697018771.

1778107968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (1778107963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35455 + ... + 69377.

It is an arithmetic number, because the mean of its divisors is an integer number (37339016).

Almost surely, 2^1778107968 is an apocalyptic number.

1778107968 is a gapful number since it is divisible by the number (18) 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 1778107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136477344).

1778107968 is an abundant number, since it is smaller than the sum of its proper divisors (4494846720).

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

1778107968 is a wasteful number, since it uses less digits than its factorization.

1778107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33961 (or 33948 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The square root of 1778107968 is about 42167.6175281459. The cubic root of 1778107968 is about 1211.4887233435.

It can be divided in two parts, 1778 and 107968, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1778107968 in words is "one billion, seven hundred seventy-eight million, one hundred seven thousand, nine hundred sixty-eight".