768115200 has 240 divisors, whose sum is σ = 2578647456. Its totient is φ = 201523200.

The previous prime is 768115193. The next prime is 768115211. The reversal of 768115200 is 2511867.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3187080 + ... + 3187320.

Almost surely, 2^768115200 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 768115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289323728).

768115200 is an abundant number, since it is smaller than the sum of its proper divisors (1810532256).

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

768115200 is a wasteful number, since it uses less digits than its factorization.

768115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 768115200 is about 27714.8913041347. The cubic root of 768115200 is about 915.8171803231.

The spelling of 768115200 in words is "seven hundred sixty-eight million, one hundred fifteen thousand, two hundred".