77803416117440 has 224 divisors, whose sum is σ = 222376212112320. Its totient is φ = 25614536933376.

The previous prime is 77803416117433. The next prime is 77803416117461. The reversal of 77803416117440 is 4471161430877.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27607937 + ... + 30295296.

It is an arithmetic number, because the mean of its divisors is an integer number (992750946930).

Almost surely, 2^{77803416117440} is an apocalyptic number.

It is an amenable number.

77803416117440 is an abundant number, since it is smaller than the sum of its proper divisors (144572795994880).

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

77803416117440 is a wasteful number, since it uses less digits than its factorization.

77803416117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57903299 (or 57903289 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 53.

The spelling of 77803416117440 in words is "seventy-seven trillion, eight hundred three billion, four hundred sixteen million, one hundred seventeen thousand, four hundred forty".