76500883200 has 432 divisors, whose sum is σ = 295594580736. Its totient is φ = 17058201600.

The previous prime is 76500883189. The next prime is 76500883213. The reversal of 76500883200 is 238800567.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5503459 + ... + 5517341.

Almost surely, 2^76500883200 is an apocalyptic number.

76500883200 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 76500883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147797290368).

76500883200 is an abundant number, since it is smaller than the sum of its proper divisors (219093697536).

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

76500883200 is a wasteful number, since it uses less digits than its factorization.

76500883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 76500883200 in words is "seventy-six billion, five hundred million, eight hundred eighty-three thousand, two hundred".