76845580144400 has 120 divisors (see below), whose sum is σ = 185809968115200. Its totient is φ = 30540942489600.

The previous prime is 76845580144397. The next prime is 76845580144433. The reversal of 76845580144400 is 444108554867.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41411681 + ... + 43227519.

It is an arithmetic number, because the mean of its divisors is an integer number (1548416400960).

Almost surely, 2^{76845580144400} 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 76845580144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92904984057600).

76845580144400 is an abundant number, since it is smaller than the sum of its proper divisors (108964387970800).

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

76845580144400 is a wasteful number, since it uses less digits than its factorization.

76845580144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816537 (or 1816526 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 56.

The spelling of 76845580144400 in words is "seventy-six trillion, eight hundred forty-five billion, five hundred eighty million, one hundred forty-four thousand, four hundred".