76290442113600 has 1701 divisors, whose sum is σ = 323371044347169. Its totient is φ = 17038446796800.

The previous prime is 76290442113527. The next prime is 76290442113617. The reversal of 76290442113600 is 631124409267.

The square root of 76290442113600 is 8734440.

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

76290442113600 is a `hidden beast` number, since 7 + 6 + 2 + 9 + 0 + 4 + 4 + 21 + 13 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 52581177658944 + 23709264454656 = 7251288^2 + 4869216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 149882990146 + ... + 149882990654.

Almost surely, 2^{76290442113600} is an apocalyptic number.

76290442113600 is the 8734440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76290442113600

76290442113600 is an abundant number, since it is smaller than the sum of its proper divisors (247080602233569).

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

76290442113600 is a wasteful number, since it uses less digits than its factorization.

76290442113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 76290442113600 in words is "seventy-six trillion, two hundred ninety billion, four hundred forty-two million, one hundred thirteen thousand, six hundred".