1075768320 has 176 divisors, whose sum is σ = 3754165248. Its totient is φ = 260751360.

The previous prime is 1075768307. The next prime is 1075768327. The reversal of 1075768320 is 238675701.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (1075768327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165777 + ... + 172143.

Almost surely, 2^1075768320 is an apocalyptic number.

1075768320 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 1075768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877082624).

1075768320 is an abundant number, since it is smaller than the sum of its proper divisors (2678396928).

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

1075768320 is a wasteful number, since it uses less digits than its factorization.

1075768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 1075768320 is about 32798.9072988720. The cubic root of 1075768320 is about 1024.6438008791.

The spelling of 1075768320 in words is "one billion, seventy-five million, seven hundred sixty-eight thousand, three hundred twenty".