768156480000 has 1600 divisors, whose sum is σ = 3500608446720. Its totient is φ = 161906688000.

The previous prime is 768156479983. The next prime is 768156480001. The reversal of 768156480000 is 84651867.

It is a happy number.

768156480000 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 564 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-3 number, since 3×768156480000³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (768156480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 786239512 + ... + 786240488.

Almost surely, 2^768156480000 is an apocalyptic number.

768156480000 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 768156480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750304223360).

768156480000 is an abundant number, since it is smaller than the sum of its proper divisors (2732451966720).

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

768156480000 is an equidigital number, since it uses as much as digits as its factorization.

768156480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 768156480000 in words is "seven hundred sixty-eight billion, one hundred fifty-six million, four hundred eighty thousand".