768609233280 has 1728 divisors, whose sum is σ = 3410940078000. Its totient is φ = 164874092544.

The previous prime is 768609233269. The next prime is 768609233281. The reversal of 768609233280 is 82332906867.

It is a happy number.

768609233280 is a `hidden beast` number, since 7 + 6 + 8 + 609 + 2 + 3 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768609233281) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2202318546 + ... + 2202318894.

Almost surely, 2^768609233280 is an apocalyptic number.

768609233280 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 768609233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705470039000).

768609233280 is an abundant number, since it is smaller than the sum of its proper divisors (2642330844720).

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

768609233280 is a wasteful number, since it uses less digits than its factorization.

768609233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 768609233280 in words is "seven hundred sixty-eight billion, six hundred nine million, two hundred thirty-three thousand, two hundred eighty".