768766464 has 240 divisors, whose sum is σ = 2377222848. Its totient is φ = 247836672.

The previous prime is 768766447. The next prime is 768766477. The reversal of 768766464 is 464667867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 768766464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4603309 + ... + 4603475.

Almost surely, 2^768766464 is an apocalyptic number.

768766464 is a gapful number since it is divisible by the number (74) 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 768766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188611424).

768766464 is an abundant number, since it is smaller than the sum of its proper divisors (1608456384).

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

768766464 is an equidigital number, since it uses as much as digits as its factorization.

768766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 768766464 is about 27726.6381662112. The cubic root of 768766464 is about 916.0759393701.

The spelling of 768766464 in words is "seven hundred sixty-eight million, seven hundred sixty-six thousand, four hundred sixty-four".