1078944768 has 264 divisors, whose sum is σ = 3525425280. Its totient is φ = 314818560.

The previous prime is 1078944731. The next prime is 1078944781. The reversal of 1078944768 is 8674498701.

It is a happy number.

1078944768 is a `hidden beast` number, since 10 + 78 + 94 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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, 2939721 + ... + 2940087.

Almost surely, 2^1078944768 is an apocalyptic number.

1078944768 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 1078944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762712640).

1078944768 is an abundant number, since it is smaller than the sum of its proper divisors (2446480512).

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

1078944768 is a wasteful number, since it uses less digits than its factorization.

1078944768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1078944768 is about 32847.2946831242. The cubic root of 1078944768 is about 1025.6513070176.

The spelling of 1078944768 in words is "one billion, seventy-eight million, nine hundred forty-four thousand, seven hundred sixty-eight".