77690834242560 has 4400 divisors, whose sum is σ = 365045800708512. Its totient is φ = 15658765516800.

The previous prime is 77690834242507. The next prime is 77690834242561. The reversal of 77690834242560 is 6524243809677.

77690834242560 is a `hidden beast` number, since 7 + 7 + 6 + 90 + 83 + 42 + 425 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (77690834242561) by changing a digit.

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 399 ways as a sum of consecutive naturals, for example, 449079966634 + ... + 449079966806.

Almost surely, 2^{77690834242560} is an apocalyptic number.

77690834242560 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 77690834242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182522900354256).

77690834242560 is an abundant number, since it is smaller than the sum of its proper divisors (287354966465952).

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

77690834242560 is a wasteful number, since it uses less digits than its factorization.

77690834242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 77690834242560 in words is "seventy-seven trillion, six hundred ninety billion, eight hundred thirty-four million, two hundred forty-two thousand, five hundred sixty".