77834410315480 has 192 divisors, whose sum is σ = 229474312770240. Its totient is φ = 23184289529856.

The previous prime is 77834410315433. The next prime is 77834410315489. The reversal of 77834410315480 is 8451301443877.

It is a happy number.

77834410315480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77834410315489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47573569 + ... + 49182448.

It is an arithmetic number, because the mean of its divisors is an integer number (1195178712345).

Almost surely, 2^{77834410315480} is an apocalyptic number.

77834410315480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77834410315480 is an abundant number, since it is smaller than the sum of its proper divisors (151639902454760).

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

77834410315480 is a wasteful number, since it uses less digits than its factorization.

77834410315480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96756078 (or 96756061 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 77834410315480 in words is "seventy-seven trillion, eight hundred thirty-four billion, four hundred ten million, three hundred fifteen thousand, four hundred eighty".