76825681920 has 1344 divisors, whose sum is σ = 324600441984. Its totient is φ = 16609443840.

The previous prime is 76825681819. The next prime is 76825681927. The reversal of 76825681920 is 2918652867.

76825681920 is a `hidden beast` number, since 7 + 68 + 2 + 568 + 19 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76825681927) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1873797100 + ... + 1873797140.

It is an arithmetic number, because the mean of its divisors is an integer number (241518186).

Almost surely, 2^76825681920 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 76825681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162300220992).

76825681920 is an abundant number, since it is smaller than the sum of its proper divisors (247774760064).

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

76825681920 is a wasteful number, since it uses less digits than its factorization.

76825681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 76825681920 in words is "seventy-six billion, eight hundred twenty-five million, six hundred eighty-one thousand, nine hundred twenty".