77005025540352 has 2304 divisors, whose sum is σ = 302149796659200. Its totient is φ = 18798321991680.

The previous prime is 77005025540321. The next prime is 77005025540411. The reversal of 77005025540352 is 25304552050077.

77005025540352 is a `hidden beast` number, since 7 + 7 + 0 + 0 + 5 + 0 + 255 + 40 + 352 = 666.

77005025540352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 77005025540298 and 77005025540307.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47918496733 + ... + 47918498339.

It is an arithmetic number, because the mean of its divisors is an integer number (131141404800).

Almost surely, 2^{77005025540352} is an apocalyptic number.

77005025540352 is a gapful number since it is divisible by the number (72) 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 77005025540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151074898329600).

77005025540352 is an abundant number, since it is smaller than the sum of its proper divisors (225144771118848).

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

77005025540352 is a wasteful number, since it uses less digits than its factorization.

77005025540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 45.

The spelling of 77005025540352 in words is "seventy-seven trillion, five billion, twenty-five million, five hundred forty thousand, three hundred fifty-two".