77336412120 has 384 divisors, whose sum is σ = 299321568000. Its totient is φ = 17761006080.

The previous prime is 77336412091. The next prime is 77336412143. The reversal of 77336412120 is 2121463377.

77336412120 is a `hidden beast` number, since 7 + 7 + 3 + 3 + 641 + 2 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2012446 + ... + 2050514.

It is an arithmetic number, because the mean of its divisors is an integer number (779483250).

Almost surely, 2^77336412120 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 77336412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149660784000).

77336412120 is an abundant number, since it is smaller than the sum of its proper divisors (221985155880).

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

77336412120 is a wasteful number, since it uses less digits than its factorization.

77336412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38125 (or 38109 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 77336412120 its reverse (2121463377), we get a palindrome (79457875497).

The spelling of 77336412120 in words is "seventy-seven billion, three hundred thirty-six million, four hundred twelve thousand, one hundred twenty".