1768314240 has 640 divisors, whose sum is σ = 7890981120. Its totient is φ = 366612480.

The previous prime is 1768314239. The next prime is 1768314277. The reversal of 1768314240 is 424138671.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×1768314240³ (a number of 29 digits) contains 333 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 = 1768314195 and 1768314204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991459 + ... + 3991901.

It is an arithmetic number, because the mean of its divisors is an integer number (12329658).

Almost surely, 2^1768314240 is an apocalyptic number.

1768314240 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 1768314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945490560).

1768314240 is an abundant number, since it is smaller than the sum of its proper divisors (6122666880).

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

1768314240 is a wasteful number, since it uses less digits than its factorization.

1768314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1768314240 is about 42051.3286353713. The cubic root of 1768314240 is about 1209.2603543747.

Subtracting from 1768314240 its reverse (424138671), we obtain a square (1344175569 = 36663²).

The spelling of 1768314240 in words is "one billion, seven hundred sixty-eight million, three hundred fourteen thousand, two hundred forty".