76129540939200 has 1344 divisors, whose sum is σ = 302548661043200. Its totient is φ = 16734574080000.

The previous prime is 76129540939139. The next prime is 76129540939289. The reversal of 76129540939200 is 293904592167.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×76129540939200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8319254625 + ... + 8319263775.

Almost surely, 2^{76129540939200} is an apocalyptic number.

76129540939200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76129540939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151274330521600).

76129540939200 is an abundant number, since it is smaller than the sum of its proper divisors (226419120104000).

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

76129540939200 is a wasteful number, since it uses less digits than its factorization.

76129540939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 76129540939200 in words is "seventy-six trillion, one hundred twenty-nine billion, five hundred forty million, nine hundred thirty-nine thousand, two hundred".