768421800 has 288 divisors, whose sum is σ = 2729825280. Its totient is φ = 193420800.

The previous prime is 768421783. The next prime is 768421813. The reversal of 768421800 is 8124867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2622454 + ... + 2622746.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^768421800 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 768421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

768421800 is an abundant number, since it is smaller than the sum of its proper divisors (1961403480).

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

768421800 is a wasteful number, since it uses less digits than its factorization.

768421800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 768421800 is about 27720.4220747087. The cubic root of 768421800 is about 915.9390162994.

The spelling of 768421800 in words is "seven hundred sixty-eight million, four hundred twenty-one thousand, eight hundred".