768900 has 72 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 185600.

The previous prime is 768881. The next prime is 768923. The reversal of 768900 is 9867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3184 + ... + 3416.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁷⁶⁸⁹⁰⁰ 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 768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

768900 is an abundant number, since it is smaller than the sum of its proper divisors (1668444).

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

768900 is a wasteful number, since it uses less digits than its factorization.

768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 768900 is about 876.8694315575. The cubic root of 768900 is about 91.6128977599.

The spelling of 768900 in words is "seven hundred sixty-eight thousand, nine hundred".