77887524741120 has 840 divisors, whose sum is σ = 283273095824532. Its totient is φ = 20473074155520.

The previous prime is 77887524741053. The next prime is 77887524741121. The reversal of 77887524741120 is 2114742578877.

It is a happy number.

77887524741120 is a `hidden beast` number, since 7 + 7 + 8 + 8 + 7 + 524 + 74 + 11 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71664216182784 + 6223308558336 = 8465472^2 + 2494656^2 .

It is not an unprimeable number, because it can be changed into a prime (77887524741121) 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 59 ways as a sum of consecutive naturals, for example, 16724825832 + ... + 16724830488.

Almost surely, 2^{77887524741120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77887524741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141636547912266).

77887524741120 is an abundant number, since it is smaller than the sum of its proper divisors (205385571083412).

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

77887524741120 is an frugal number, since it uses more digits than its factorization.

77887524741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 49172480, while the sum is 63.

The spelling of 77887524741120 in words is "seventy-seven trillion, eight hundred eighty-seven billion, five hundred twenty-four million, seven hundred forty-one thousand, one hundred twenty".