77306898816 has 192 divisors, whose sum is σ = 254443381920. Its totient is φ = 22069886976.

The previous prime is 77306898787. The next prime is 77306898817. The reversal of 77306898816 is 61889860377.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77306898817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12520306 + ... + 12526478.

Almost surely, 2^77306898816 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 77306898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127221690960).

77306898816 is an abundant number, since it is smaller than the sum of its proper divisors (177136483104).

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

77306898816 is a wasteful number, since it uses less digits than its factorization.

77306898816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 77306898816 in words is "seventy-seven billion, three hundred six million, eight hundred ninety-eight thousand, eight hundred sixteen".