77246731296 has 576 divisors, whose sum is σ = 269466341760. Its totient is φ = 21459271680.

The previous prime is 77246731291. The next prime is 77246731337. The reversal of 77246731296 is 69213764277.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77246731291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320525736 + ... + 320525976.

It is an arithmetic number, because the mean of its divisors is an integer number (467823510).

Almost surely, 2^77246731296 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 77246731296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134733170880).

77246731296 is an abundant number, since it is smaller than the sum of its proper divisors (192219610464).

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

77246731296 is a wasteful number, since it uses less digits than its factorization.

77246731296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 433 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 77246731296 in words is "seventy-seven billion, two hundred forty-six million, seven hundred thirty-one thousand, two hundred ninety-six".