768216456 has 96 divisors (see below), whose sum is σ = 2454566400. Its totient is φ = 212405760.

The previous prime is 768216431. The next prime is 768216473. The reversal of 768216456 is 654612867.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 8961 + ... + 40208.

It is an arithmetic number, because the mean of its divisors is an integer number (25568400).

Almost surely, 2^768216456 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 768216456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227283200).

768216456 is an abundant number, since it is smaller than the sum of its proper divisors (1686349944).

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

768216456 is a wasteful number, since it uses less digits than its factorization.

768216456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49219 (or 49212 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 768216456 is about 27716.7179875251. The cubic root of 768216456 is about 915.8574207758.

The spelling of 768216456 in words is "seven hundred sixty-eight million, two hundred sixteen thousand, four hundred fifty-six".