76843425600 has 672 divisors, whose sum is σ = 287848243200. Its totient is φ = 19935590400.

The previous prime is 76843425563. The next prime is 76843425643. The reversal of 76843425600 is 652434867.

76843425600 is a `hidden beast` number, since 7 + 6 + 8 + 4 + 34 + 2 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402321505 + ... + 402321695.

It is an arithmetic number, because the mean of its divisors is an integer number (428345600).

Almost surely, 2^76843425600 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 76843425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143924121600).

76843425600 is an abundant number, since it is smaller than the sum of its proper divisors (211004817600).

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

76843425600 is a wasteful number, since it uses less digits than its factorization.

76843425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 76843425600 in words is "seventy-six billion, eight hundred forty-three million, four hundred twenty-five thousand, six hundred".