76271141400 has 576 divisors, whose sum is σ = 265413012480. Its totient is φ = 18083865600.

The previous prime is 76271141377. The next prime is 76271141417. The reversal of 76271141400 is 414117267.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248440047 + ... + 248440353.

It is an arithmetic number, because the mean of its divisors is an integer number (460786480).

Almost surely, 2^76271141400 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 76271141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132706506240).

76271141400 is an abundant number, since it is smaller than the sum of its proper divisors (189141871080).

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

76271141400 is a wasteful number, since it uses less digits than its factorization.

76271141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

Adding to 76271141400 its reverse (414117267), we get a palindrome (76685258667).

The spelling of 76271141400 in words is "seventy-six billion, two hundred seventy-one million, one hundred forty-one thousand, four hundred".