76290318720 has 768 divisors, whose sum is σ = 342923673600. Its totient is φ = 15850598400.

The previous prime is 76290318703. The next prime is 76290318733. The reversal of 76290318720 is 2781309267.

76290318720 is a `hidden beast` number, since 7 + 629 + 0 + 3 + 18 + 7 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9309825 + ... + 9318015.

It is an arithmetic number, because the mean of its divisors is an integer number (446515200).

Almost surely, 2^76290318720 is an apocalyptic number.

76290318720 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 76290318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171461836800).

76290318720 is an abundant number, since it is smaller than the sum of its proper divisors (266633354880).

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

76290318720 is a wasteful number, since it uses less digits than its factorization.

76290318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 76290318720 in words is "seventy-six billion, two hundred ninety million, three hundred eighteen thousand, seven hundred twenty".