77252054220 has 144 divisors (see below), whose sum is σ = 256051111680. Its totient is φ = 18697219200.

The previous prime is 77252054213. The next prime is 77252054221. The reversal of 77252054220 is 2245025277.

77252054220 is a `hidden beast` number, since 7 + 7 + 25 + 205 + 422 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77252054221) 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 47 ways as a sum of consecutive naturals, for example, 1194105 + ... + 1257135.

It is an arithmetic number, because the mean of its divisors is an integer number (1778132720).

Almost surely, 2^77252054220 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 77252054220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128025555840).

77252054220 is an abundant number, since it is smaller than the sum of its proper divisors (178799057460).

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

77252054220 is a wasteful number, since it uses less digits than its factorization.

77252054220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63676 (or 63671 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

Adding to 77252054220 its reverse (2245025277), we get a palindrome (79497079497).

The spelling of 77252054220 in words is "seventy-seven billion, two hundred fifty-two million, fifty-four thousand, two hundred twenty".