76833472500 has 180 divisors, whose sum is σ = 243438927732. Its totient is φ = 20426112000.

The previous prime is 76833472483. The next prime is 76833472609. The reversal of 76833472500 is 527433867.

76833472500 is a `hidden beast` number, since 7 + 68 + 334 + 7 + 250 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 56245814244 + 20587658256 = 237162^2 + 143484^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7577434 + ... + 7587566.

Almost surely, 2^76833472500 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 76833472500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121719463866).

76833472500 is an abundant number, since it is smaller than the sum of its proper divisors (166605455232).

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

76833472500 is a wasteful number, since it uses less digits than its factorization.

76833472500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10500 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 76833472500 in words is "seventy-six billion, eight hundred thirty-three million, four hundred seventy-two thousand, five hundred".