77098138080 has 192 divisors, whose sum is σ = 253615380480. Its totient is φ = 19650318336.

The previous prime is 77098138069. The next prime is 77098138087. The reversal of 77098138080 is 8083189077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77098138087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23060889 + ... + 23064231.

It is an arithmetic number, because the mean of its divisors is an integer number (1320913440).

Almost surely, 2^77098138080 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 77098138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126807690240).

77098138080 is an abundant number, since it is smaller than the sum of its proper divisors (176517242400).

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

77098138080 is a wasteful number, since it uses less digits than its factorization.

77098138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 77098138080 in words is "seventy-seven billion, ninety-eight million, one hundred thirty-eight thousand, eighty".