1077360768 has 288 divisors, whose sum is σ = 3491888400. Its totient is φ = 318489600.

The previous prime is 1077360751. The next prime is 1077360769. The reversal of 1077360768 is 8670637701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1077360769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8224063 + ... + 8224193.

Almost surely, 2^1077360768 is an apocalyptic number.

1077360768 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 1077360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745944200).

1077360768 is an abundant number, since it is smaller than the sum of its proper divisors (2414527632).

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

1077360768 is a wasteful number, since it uses less digits than its factorization.

1077360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 1077360768 is about 32823.1742523480. The cubic root of 1077360768 is about 1025.1491412569.

The spelling of 1077360768 in words is "one billion, seventy-seven million, three hundred sixty thousand, seven hundred sixty-eight".