768366000 has 560 divisors, whose sum is σ = 3044590848. Its totient is φ = 186624000.

The previous prime is 768365999. The next prime is 768366019. The reversal of 768366000 is 663867.

It is a happy number.

768366000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24785985 + ... + 24786015.

Almost surely, 2^768366000 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 768366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522295424).

768366000 is an abundant number, since it is smaller than the sum of its proper divisors (2276224848).

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

768366000 is a wasteful number, since it uses less digits than its factorization.

768366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 768366000 is about 27719.4155782549. The cubic root of 768366000 is about 915.9168450413.

The spelling of 768366000 in words is "seven hundred sixty-eight million, three hundred sixty-six thousand".