768568500 has 240 divisors, whose sum is σ = 2866735872. Its totient is φ = 175608000.

The previous prime is 768568499. The next prime is 768568501. The reversal of 768568500 is 5865867.

768568500 is a `hidden beast` number, since 7 + 6 + 85 + 68 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (768568499) and next prime (768568501).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768568501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282145 + ... + 284855.

Almost surely, 2^768568500 is an apocalyptic number.

768568500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768568500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433367936).

768568500 is an abundant number, since it is smaller than the sum of its proper divisors (2098167372).

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

768568500 is a wasteful number, since it uses less digits than its factorization.

768568500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 768568500 is about 27723.0680120365. The cubic root of 768568500 is about 915.9973001325.

The spelling of 768568500 in words is "seven hundred sixty-eight million, five hundred sixty-eight thousand, five hundred".