1077712128 has 90 divisors (see below), whose sum is σ = 3213604394. Its totient is φ = 359230464.

The previous prime is 1077712099. The next prime is 1077712151. The reversal of 1077712128 is 8212177701.

It can be written as a sum of positive squares in only one way, i.e., 812934144 + 264777984 = 28512^2 + 16272^2 .

It is a super-2 number, since 2×1077712128² = 2322926861676576768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1077712092 and 1077712101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5251 + ... + 46722.

Almost surely, 2^1077712128 is an apocalyptic number.

1077712128 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 1077712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606802197).

1077712128 is an abundant number, since it is smaller than the sum of its proper divisors (2135892266).

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

1077712128 is an frugal number, since it uses more digits than its factorization.

1077712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52001 (or 51978 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The square root of 1077712128 is about 32828.5261320090. The cubic root of 1077712128 is about 1025.2605732127.

Adding to 1077712128 its reverse (8212177701), we get a palindrome (9289889829).

The spelling of 1077712128 in words is "one billion, seventy-seven million, seven hundred twelve thousand, one hundred twenty-eight".