76456980685800 has 1536 divisors, whose sum is σ = 321686935718400. Its totient is φ = 16646338252800.

The previous prime is 76456980685783. The next prime is 76456980685843. The reversal of 76456980685800 is 858608965467.

It is a happy number.

76456980685800 is a `hidden beast` number, since 7 + 6 + 4 + 569 + 8 + 0 + 6 + 8 + 58 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2314266882 + ... + 2314299918.

It is an arithmetic number, because the mean of its divisors is an integer number (209431598775).

Almost surely, 2^{76456980685800} 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 76456980685800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160843467859200).

76456980685800 is an abundant number, since it is smaller than the sum of its proper divisors (245229955032600).

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

76456980685800 is a wasteful number, since it uses less digits than its factorization.

76456980685800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33135 (or 33108 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 76456980685800 in words is "seventy-six trillion, four hundred fifty-six billion, nine hundred eighty million, six hundred eighty-five thousand, eight hundred".