1077752256 has 168 divisors, whose sum is σ = 3354147216. Its totient is φ = 304496640.

The previous prime is 1077752237. The next prime is 1077752279. The reversal of 1077752256 is 6522577701.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 911986 + ... + 913166.

It is an arithmetic number, because the mean of its divisors is an integer number (19965162).

Almost surely, 2^1077752256 is an apocalyptic number.

1077752256 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 1077752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677073608).

1077752256 is an abundant number, since it is smaller than the sum of its proper divisors (2276394960).

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

1077752256 is a wasteful number, since it uses less digits than its factorization.

1077752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The square root of 1077752256 is about 32829.1373020980. The cubic root of 1077752256 is about 1025.2732980535.

The spelling of 1077752256 in words is "one billion, seventy-seven million, seven hundred fifty-two thousand, two hundred fifty-six".