768354048 has 432 divisors, whose sum is σ = 2846817792. Its totient is φ = 193536000.

The previous prime is 768354017. The next prime is 768354071. The reversal of 768354048 is 840453867.

768354048 is a `hidden beast` number, since 7 + 68 + 3 + 540 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 768353994 and 768354012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10821853 + ... + 10821923.

It is an arithmetic number, because the mean of its divisors is an integer number (6589856).

Almost surely, 2^768354048 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 768354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423408896).

768354048 is an abundant number, since it is smaller than the sum of its proper divisors (2078463744).

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

768354048 is a wasteful number, since it uses less digits than its factorization.

768354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 768354048 is about 27719.1999884557. The cubic root of 768354048 is about 915.9120959612.

The spelling of 768354048 in words is "seven hundred sixty-eight million, three hundred fifty-four thousand, forty-eight".