76234209868800 has 2640 divisors, whose sum is σ = 322060946423040. Its totient is φ = 17698046607360.

The previous prime is 76234209868763. The next prime is 76234209868841. The reversal of 76234209868800 is 886890243267.

76234209868800 is a `hidden beast` number, since 7 + 62 + 3 + 420 + 98 + 68 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28800229077 + ... + 28800231723.

It is an arithmetic number, because the mean of its divisors is an integer number (121992782736).

Almost surely, 2^{76234209868800} 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 76234209868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161030473211520).

76234209868800 is an abundant number, since it is smaller than the sum of its proper divisors (245826736554240).

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

76234209868800 is a wasteful number, since it uses less digits than its factorization.

76234209868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 76234209868800 in words is "seventy-six trillion, two hundred thirty-four billion, two hundred nine million, eight hundred sixty-eight thousand, eight hundred".