768949440 has 448 divisors, whose sum is σ = 3033759744. Its totient is φ = 161021952.

The previous prime is 768949439. The next prime is 768949541. The reversal of 768949440 is 44949867.

768949440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6054657 + ... + 6054783.

Almost surely, 2^768949440 is an apocalyptic number.

768949440 is a gapful number since it is divisible by the number (70) 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 768949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516879872).

768949440 is an abundant number, since it is smaller than the sum of its proper divisors (2264810304).

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

768949440 is a wasteful number, since it uses less digits than its factorization.

768949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 768949440 is about 27729.9376126237. The cubic root of 768949440 is about 916.1486127684.

The spelling of 768949440 in words is "seven hundred sixty-eight million, nine hundred forty-nine thousand, four hundred forty".