76993762500 has 432 divisors, whose sum is σ = 255281317200. Its totient is φ = 19543680000.

The previous prime is 76993762487. The next prime is 76993762523. The reversal of 76993762500 is 526739967.

76993762500 is a `hidden beast` number, since 7 + 6 + 9 + 9 + 3 + 7 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 76083292224 + 910470276 = 275832^2 + 30174^2 .

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 143 ways as a sum of consecutive naturals, for example, 220612326 + ... + 220612674.

It is an arithmetic number, because the mean of its divisors is an integer number (590928975).

Almost surely, 2^76993762500 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 76993762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127640658600).

76993762500 is an abundant number, since it is smaller than the sum of its proper divisors (178287554700).

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

76993762500 is a wasteful number, since it uses less digits than its factorization.

76993762500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

It can be divided in two parts, 76 and 993762500, that added together give a square (993762576 = 31524²).

The spelling of 76993762500 in words is "seventy-six billion, nine hundred ninety-three million, seven hundred sixty-two thousand, five hundred".