76142541200 has 90 divisors (see below), whose sum is σ = 201074644722. Its totient is φ = 27688179200.

The previous prime is 76142541199. The next prime is 76142541257. The reversal of 76142541200 is 214524167.

It can be written as a sum of positive squares in 3 ways, for example, as 348046336 + 75794494864 = 18656^2 + 275308^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 738197 + ... + 834996.

Almost surely, 2^76142541200 is an apocalyptic number.

It is an amenable number.

76142541200 is an abundant number, since it is smaller than the sum of its proper divisors (124932103522).

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

76142541200 is a wasteful number, since it uses less digits than its factorization.

76142541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573233 (or 1573211 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 76142541200 in words is "seventy-six billion, one hundred forty-two million, five hundred forty-one thousand, two hundred".