1768000000 has 280 divisors, whose sum is σ = 5035013676. Its totient is φ = 614400000.

The previous prime is 1767999941. The next prime is 1768000019. The reversal of 1768000000 is 8671.

It can be written as a sum of positive squares in 14 ways, for example, as 1601280256 + 166719744 = 40016^2 + 12912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 103999992 + ... + 104000008.

Almost surely, 2^1768000000 is an apocalyptic number.

1768000000 is a gapful number since it is divisible by the number (10) 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 1768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517506838).

1768000000 is an abundant number, since it is smaller than the sum of its proper divisors (3267013676).

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

1768000000 is an frugal number, since it uses more digits than its factorization.

1768000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1768000000 is about 42047.5920832573. The cubic root of 1768000000 is about 1209.1887192025.

Adding to 1768000000 its reverse (8671), we get a palindrome (1768008671).

It can be divided in two parts, 17 and 68000000, that multiplied together give a square (1156000000 = 34000²).

The spelling of 1768000000 in words is "one billion, seven hundred sixty-eight million", and thus it is an aban number.