76130841600 has 2112 divisors, whose sum is σ = 350891827200. Its totient is φ = 15925248000.

The previous prime is 76130841571. The next prime is 76130841623. The reversal of 76130841600 is 614803167.

76130841600 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 0 + 8 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 2455833585 + ... + 2455833615.

Almost surely, 2^76130841600 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 76130841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175445913600).

76130841600 is an abundant number, since it is smaller than the sum of its proper divisors (274760985600).

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

76130841600 is a wasteful number, since it uses less digits than its factorization.

76130841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 76130841600 in words is "seventy-six billion, one hundred thirty million, eight hundred forty-one thousand, six hundred".