77342055120 has 960 divisors, whose sum is σ = 313488506880. Its totient is φ = 17374694400.

The previous prime is 77342055103. The next prime is 77342055121. The reversal of 77342055120 is 2155024377.

77342055120 is a `hidden beast` number, since 77 + 34 + 2 + 0 + 551 + 2 + 0 = 666.

It is a super-3 number, since 3×77342055120³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77342055121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 608992497 + ... + 608992623.

It is an arithmetic number, because the mean of its divisors is an integer number (326550528).

Almost surely, 2^77342055120 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 77342055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156744253440).

77342055120 is an abundant number, since it is smaller than the sum of its proper divisors (236146451760).

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

77342055120 is a wasteful number, since it uses less digits than its factorization.

77342055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 77342055120 its reverse (2155024377), we get a palindrome (79497079497).

The spelling of 77342055120 in words is "seventy-seven billion, three hundred forty-two million, fifty-five thousand, one hundred twenty".