508782768 has 80 divisors (see below), whose sum is σ = 1419075840. Its totient is φ = 156148992.

The previous prime is 508782767. The next prime is 508782787. The reversal of 508782768 is 867287805.

It is a self number, because there is not a number n which added to its sum of digits gives 508782768.

It is not an unprimeable number, because it can be changed into a prime (508782767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325573 + ... + 327131.

It is an arithmetic number, because the mean of its divisors is an integer number (17738448).

Almost surely, 2^508782768 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 508782768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709537920).

508782768 is an abundant number, since it is smaller than the sum of its proper divisors (910293072).

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

508782768 is a wasteful number, since it uses less digits than its factorization.

508782768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The square root of 508782768 is about 22556.2135120237. The cubic root of 508782768 is about 798.3208363109.

The spelling of 508782768 in words is "five hundred eight million, seven hundred eighty-two thousand, seven hundred sixty-eight".