768625439500800 has 3600 divisors, whose sum is σ = 3500754840868032. Its totient is φ = 165726889574400.

The previous prime is 768625439500769. The next prime is 768625439500801. The reversal of 768625439500800 is 8005934526867.

It is a happy number.

768625439500800 is a `hidden beast` number, since 7 + 6 + 8 + 6 + 2 + 5 + 43 + 9 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (768625439500801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 85298568295 + ... + 85298577305.

Almost surely, 2^{768625439500800} is an apocalyptic number.

768625439500800 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 768625439500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750377420434016).

768625439500800 is an abundant number, since it is smaller than the sum of its proper divisors (2732129401367232).

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

768625439500800 is a wasteful number, since it uses less digits than its factorization.

768625439500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 768625439500800 in words is "seven hundred sixty-eight trillion, six hundred twenty-five billion, four hundred thirty-nine million, five hundred thousand, eight hundred".