1768125408 has 288 divisors, whose sum is σ = 5782371840. Its totient is φ = 470292480.

The previous prime is 1768125379. The next prime is 1768125413. The reversal of 1768125408 is 8045218671.

1768125408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1768125408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6524313 + ... + 6524583.

It is an arithmetic number, because the mean of its divisors is an integer number (20077680).

Almost surely, 2^1768125408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768125408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891185920).

1768125408 is an abundant number, since it is smaller than the sum of its proper divisors (4014246432).

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

1768125408 is a wasteful number, since it uses less digits than its factorization.

1768125408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1768125408 is about 42049.0833193781. The cubic root of 1768125408 is about 1209.2173086357.

The spelling of 1768125408 in words is "one billion, seven hundred sixty-eight million, one hundred twenty-five thousand, four hundred eight".