76164194384100 has 189 divisors, whose sum is σ = 247808761127193. Its totient is φ = 20309823476640.

The previous prime is 76164194384093. The next prime is 76164194384149. The reversal of 76164194384100 is 148349146167.

It is a happy number.

The square root of 76164194384100 is 8727210.

It is a perfect power (a square), and thus also a powerful number.

76164194384100 is a `hidden beast` number, since 7 + 6 + 1 + 6 + 4 + 194 + 38 + 410 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27419109978276 + 48745084405824 = 5236326^2 + 6981768^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2356330539 + ... + 2356362861.

Almost surely, 2^{76164194384100} is an apocalyptic number.

76164194384100 is the 8727210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76164194384100

76164194384100 is an abundant number, since it is smaller than the sum of its proper divisors (171644566743093).

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

76164194384100 is an frugal number, since it uses more digits than its factorization.

76164194384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64678 (or 32333 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 76164194384100 in words is "seventy-six trillion, one hundred sixty-four billion, one hundred ninety-four million, three hundred eighty-four thousand, one hundred".