76115312126400 has 336 divisors, whose sum is σ = 260658327942144. Its totient is φ = 19409018449920.

The previous prime is 76115312126327. The next prime is 76115312126417. The reversal of 76115312126400 is 462121351167.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368964082 + ... + 369170318.

Almost surely, 2^{76115312126400} 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 76115312126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130329163971072).

76115312126400 is an abundant number, since it is smaller than the sum of its proper divisors (184543015815744).

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

76115312126400 is a wasteful number, since it uses less digits than its factorization.

76115312126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209628 (or 209613 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 76115312126400 its reverse (462121351167), we get a palindrome (76577433477567).

The spelling of 76115312126400 in words is "seventy-six trillion, one hundred fifteen billion, three hundred twelve million, one hundred twenty-six thousand, four hundred".