77441280000 has 960 divisors, whose sum is σ = 306207982080. Its totient is φ = 17031168000.

The previous prime is 77441279947. The next prime is 77441280011. The reversal of 77441280000 is 8214477.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1155839967 + ... + 1155840033.

It is an arithmetic number, because the mean of its divisors is an integer number (318966648).

Almost surely, 2^77441280000 is an apocalyptic number.

77441280000 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 77441280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153103991040).

77441280000 is an abundant number, since it is smaller than the sum of its proper divisors (228766702080).

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

77441280000 is an equidigital number, since it uses as much as digits as its factorization.

77441280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 77441280000 its reverse (8214477), we get a palindrome (77449494477).

The spelling of 77441280000 in words is "seventy-seven billion, four hundred forty-one million, two hundred eighty thousand".