1768410000 has 450 divisors, whose sum is σ = 7212021102. Its totient is φ = 403200000.

The previous prime is 1768409999. The next prime is 1768410013. The reversal of 1768410000 is 148671.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 189778176 + 1578631824 = 13776^2 + 39732^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4409800 + ... + 4410200.

Almost surely, 2^1768410000 is an apocalyptic number.

1768410000 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 1768410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606010551).

1768410000 is an abundant number, since it is smaller than the sum of its proper divisors (5443611102).

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

1768410000 is a wasteful number, since it uses less digits than its factorization.

1768410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1768410000 is about 42052.4672284517. The cubic root of 1768410000 is about 1209.2821824485.

Adding to 1768410000 its reverse (148671), we get a palindrome (1768558671).

The spelling of 1768410000 in words is "one billion, seven hundred sixty-eight million, four hundred ten thousand".