768397500 has 360 divisors, whose sum is σ = 2722303584. Its totient is φ = 181440000.

The previous prime is 768397499. The next prime is 768397583. The reversal of 768397500 is 5793867.

It is a happy number.

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 119 ways as a sum of consecutive naturals, for example, 10822465 + ... + 10822535.

Almost surely, 2^768397500 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 768397500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361151792).

768397500 is an abundant number, since it is smaller than the sum of its proper divisors (1953906084).

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

768397500 is a wasteful number, since it uses less digits than its factorization.

768397500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 768397500 is about 27719.9837662290. The cubic root of 768397500 is about 915.9293612060.

The spelling of 768397500 in words is "seven hundred sixty-eight million, three hundred ninety-seven thousand, five hundred".