768023885210400 has 864 divisors, whose sum is σ = 3333438558777600. Its totient is φ = 162034153021440.

The previous prime is 768023885210287. The next prime is 768023885210401. The reversal of 768023885210400 is 4012588320867.

768023885210400 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 2 + 388 + 5 + 210 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (768023885210401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14282677914 + ... + 14282731686.

Almost surely, 2^{768023885210400} is an apocalyptic number.

768023885210400 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 768023885210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666719279388800).

768023885210400 is an abundant number, since it is smaller than the sum of its proper divisors (2565414673567200).

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

768023885210400 is a wasteful number, since it uses less digits than its factorization.

768023885210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75618 (or 75602 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 768023885210400 in words is "seven hundred sixty-eight trillion, twenty-three billion, eight hundred eighty-five million, two hundred ten thousand, four hundred".