768631776 has 192 divisors, whose sum is σ = 2398636800. Its totient is φ = 212889600.

The previous prime is 768631769. The next prime is 768631789. The reversal of 768631776 is 677136867.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581196 + ... + 582516.

It is an arithmetic number, because the mean of its divisors is an integer number (12492900).

Almost surely, 2^768631776 is an apocalyptic number.

768631776 is a gapful number since it is divisible by the number (76) 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 768631776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199318400).

768631776 is an abundant number, since it is smaller than the sum of its proper divisors (1630005024).

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

768631776 is a wasteful number, since it uses less digits than its factorization.

768631776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The square root of 768631776 is about 27724.2092042316. The cubic root of 768631776 is about 916.0224373647.

The spelling of 768631776 in words is "seven hundred sixty-eight million, six hundred thirty-one thousand, seven hundred seventy-six".