768835584000 has 1216 divisors, whose sum is σ = 3140688844800. Its totient is φ = 184025088000.

The previous prime is 768835583983. The next prime is 768835584007. The reversal of 768835584000 is 485538867.

768835584000 is a `hidden beast` number, since 7 + 6 + 8 + 83 + 558 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×768835584000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (768835584007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9732095961 + ... + 9732096039.

Almost surely, 2^768835584000 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 768835584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570344422400).

768835584000 is an abundant number, since it is smaller than the sum of its proper divisors (2371853260800).

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

768835584000 is an frugal number, since it uses more digits than its factorization.

768835584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 768835584000 in words is "seven hundred sixty-eight billion, eight hundred thirty-five million, five hundred eighty-four thousand".