768978288 has 240 divisors, whose sum is σ = 2439781344. Its totient is φ = 224501760.

The previous prime is 768978193. The next prime is 768978293. The reversal of 768978288 is 882879867.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3300220 + ... + 3300452.

Almost surely, 2^768978288 is an apocalyptic number.

768978288 is a gapful number since it is divisible by the number (78) 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 768978288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219890672).

768978288 is an abundant number, since it is smaller than the sum of its proper divisors (1670803056).

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

768978288 is a wasteful number, since it uses less digits than its factorization.

768978288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The square root of 768978288 is about 27730.4577675883. The cubic root of 768978288 is about 916.1600694058.

The spelling of 768978288 in words is "seven hundred sixty-eight million, nine hundred seventy-eight thousand, two hundred eighty-eight".