768428820 has 36 divisors (see below), whose sum is σ = 2330901300. Its totient is φ = 204914304.

The previous prime is 768428819. The next prime is 768428831. The reversal of 768428820 is 28824867.

It is a happy number.

768428820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 299013264 + 469415556 = 17292^2 + 21666^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2134345 + ... + 2134704.

Almost surely, 2^768428820 is an apocalyptic number.

It is an amenable number.

768428820 is an abundant number, since it is smaller than the sum of its proper divisors (1562472480).

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

768428820 is a wasteful number, since it uses less digits than its factorization.

768428820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269064 (or 4269059 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 768428820 is about 27720.5486958682. The cubic root of 768428820 is about 915.9418055107.

The spelling of 768428820 in words is "seven hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred twenty".