76306017216 has 224 divisors, whose sum is σ = 251142812928. Its totient is φ = 20088668160.

The previous prime is 76306017209. The next prime is 76306017241. The reversal of 76306017216 is 61271060367.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385011 + ... + 548493.

It is an arithmetic number, because the mean of its divisors is an integer number (1121173272).

Almost surely, 2^76306017216 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 76306017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125571406464).

76306017216 is an abundant number, since it is smaller than the sum of its proper divisors (174836795712).

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

76306017216 is a wasteful number, since it uses less digits than its factorization.

76306017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163539 (or 163529 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 76306017216 in words is "seventy-six billion, three hundred six million, seventeen thousand, two hundred sixteen".