768228825 has 96 divisors (see below), whose sum is σ = 1614118912. Its totient is φ = 313632000.

The previous prime is 768228803. The next prime is 768228829. The reversal of 768228825 is 528822867.

768228825 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 768228825 - 2²² = 764034521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (768228829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209760 + ... + 213390.

Almost surely, 2^768228825 is an apocalyptic number.

768228825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

768228825 is an abundant number, since it is smaller than the sum of its proper divisors (845890087).

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

768228825 is a wasteful number, since it uses less digits than its factorization.

768228825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3690 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 768228825 is about 27716.9411191062. The cubic root of 768228825 is about 915.8623361350.

The spelling of 768228825 in words is "seven hundred sixty-eight million, two hundred twenty-eight thousand, eight hundred twenty-five".