1077360256 has 128 divisors (see below), whose sum is σ = 2555712000. Its totient is φ = 452035584.

The previous prime is 1077360217. The next prime is 1077360257. The reversal of 1077360256 is 6520637701.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1077360257) 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, 2326681 + ... + 2327143.

It is an arithmetic number, because the mean of its divisors is an integer number (19966500).

Almost surely, 2^1077360256 is an apocalyptic number.

1077360256 is a gapful number since it is divisible by the number (16) 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 1077360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277856000).

1077360256 is an abundant number, since it is smaller than the sum of its proper divisors (1478351744).

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

1077360256 is an frugal number, since it uses more digits than its factorization.

1077360256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 1077360256 is about 32823.1664529795. The cubic root of 1077360256 is about 1025.1489788612.

Adding to 1077360256 its reverse (6520637701), we get a palindrome (7597997957).

The spelling of 1077360256 in words is "one billion, seventy-seven million, three hundred sixty thousand, two hundred fifty-six".