76114251200 has 168 divisors, whose sum is σ = 204709574832. Its totient is φ = 27683758080.

The previous prime is 76114251119. The next prime is 76114251211. The reversal of 76114251200 is 215241167.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366292 + ... + 1420908.

It is an arithmetic number, because the mean of its divisors is an integer number (1218509374).

Almost surely, 2^76114251200 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 76114251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102354787416).

76114251200 is an abundant number, since it is smaller than the sum of its proper divisors (128595323632).

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

76114251200 is a wasteful number, since it uses less digits than its factorization.

76114251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54719 (or 54704 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 76114251200 its reverse (215241167), we get a palindrome (76329492367).

The spelling of 76114251200 in words is "seventy-six billion, one hundred fourteen million, two hundred fifty-one thousand, two hundred".