768355848 has 128 divisors (see below), whose sum is σ = 2398636800. Its totient is φ = 226119168.

The previous prime is 768355831. The next prime is 768355873. The reversal of 768355848 is 848553867.

768355848 is a `hidden beast` number, since 7 + 6 + 83 + 558 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 768355794 and 768355803.

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 31 ways as a sum of consecutive naturals, for example, 58636 + ... + 70532.

It is an arithmetic number, because the mean of its divisors is an integer number (18739350).

Almost surely, 2^768355848 is an apocalyptic number.

768355848 is a gapful number since it is divisible by the number (78) 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 768355848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199318400).

768355848 is an abundant number, since it is smaller than the sum of its proper divisors (1630280952).

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

768355848 is a wasteful number, since it uses less digits than its factorization.

768355848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948 (or 11938 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 768355848 is about 27719.2324569062. The cubic root of 768355848 is about 915.9128111873.

The spelling of 768355848 in words is "seven hundred sixty-eight million, three hundred fifty-five thousand, eight hundred forty-eight".