77281102080 has 720 divisors, whose sum is σ = 340381138944. Its totient is φ = 16303472640.

The previous prime is 77281102069. The next prime is 77281102097. The reversal of 77281102080 is 8020118277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 9430785 + ... + 9438975.

Almost surely, 2^77281102080 is an apocalyptic number.

77281102080 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 77281102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170190569472).

77281102080 is an abundant number, since it is smaller than the sum of its proper divisors (263100036864).

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

77281102080 is a wasteful number, since it uses less digits than its factorization.

77281102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 77281102080 in words is "seventy-seven billion, two hundred eighty-one million, one hundred two thousand, eighty".