1077587712 has 180 divisors, whose sum is σ = 3243406936. Its totient is φ = 355829760.

The previous prime is 1077587711. The next prime is 1077587759. The reversal of 1077587712 is 2177857701.

It is a happy number.

It is a super-2 number, since 2×1077587712² = 2322390554106789888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077587711) 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 19 ways as a sum of consecutive naturals, for example, 3255387 + ... + 3255717.

Almost surely, 2^1077587712 is an apocalyptic number.

1077587712 is a gapful number since it is divisible by the number (12) 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 1077587712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621703468).

1077587712 is an abundant number, since it is smaller than the sum of its proper divisors (2165819224).

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

1077587712 is an equidigital number, since it uses as much as digits as its factorization.

1077587712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 45.

The square root of 1077587712 is about 32826.6311399754. The cubic root of 1077587712 is about 1025.2211181099.

The spelling of 1077587712 in words is "one billion, seventy-seven million, five hundred eighty-seven thousand, seven hundred twelve".