768380000 has 120 divisors (see below), whose sum is σ = 1913799888. Its totient is φ = 303552000.

The previous prime is 768379967. The next prime is 768380003. The reversal of 768380000 is 83867.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768380003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2059814 + ... + 2060186.

Almost surely, 2^768380000 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 768380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956899944).

768380000 is an abundant number, since it is smaller than the sum of its proper divisors (1145419888).

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

768380000 is a wasteful number, since it uses less digits than its factorization.

768380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 768380000 is about 27719.6681076812. The cubic root of 768380000 is about 915.9224078234.

The spelling of 768380000 in words is "seven hundred sixty-eight million, three hundred eighty thousand".