76000834800 has 360 divisors, whose sum is σ = 288529532928. Its totient is φ = 18372672000.

The previous prime is 76000834799. The next prime is 76000834843. The reversal of 76000834800 is 843800067.

76000834800 is a `hidden beast` number, since 7 + 600 + 0 + 8 + 3 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×76000834800² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15164295 + ... + 15169305.

Almost surely, 2^76000834800 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 76000834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144264766464).

76000834800 is an abundant number, since it is smaller than the sum of its proper divisors (212528698128).

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

76000834800 is a wasteful number, since it uses less digits than its factorization.

76000834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 76000834800 in words is "seventy-six billion, eight hundred thirty-four thousand, eight hundred".