768891600 has 180 divisors, whose sum is σ = 2730869856. Its totient is φ = 200229120.

The previous prime is 768891581. The next prime is 768891611. The reversal of 768891600 is 6198867.

It is a happy number.

768891600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 152317 + ... + 157283.

Almost surely, 2^768891600 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 768891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365434928).

768891600 is an abundant number, since it is smaller than the sum of its proper divisors (1961978256).

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

768891600 is a wasteful number, since it uses less digits than its factorization.

768891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 768891600 is about 27728.8946768529. The cubic root of 768891600 is about 916.1256414426.

The spelling of 768891600 in words is "seven hundred sixty-eight million, eight hundred ninety-one thousand, six hundred".