380485077768 has 72 divisors (see below), whose sum is σ = 1055707076970. Its totient is φ = 123724085760.

The previous prime is 380485077659. The next prime is 380485077773. The reversal of 380485077768 is 867770584083.

380485077768 is a `hidden beast` number, since 3 + 80 + 48 + 507 + 7 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 143687999844 + 236797077924 = 379062^2 + 486618^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33508380 + ... + 33519732.

Almost surely, 2^380485077768 is an apocalyptic number.

It is an amenable number.

380485077768 is an abundant number, since it is smaller than the sum of its proper divisors (675221999202).

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

380485077768 is an equidigital number, since it uses as much as digits as its factorization.

380485077768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22759 (or 11399 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 380485077768 in words is "three hundred eighty billion, four hundred eighty-five million, seventy-seven thousand, seven hundred sixty-eight".