77466201120 has 2304 divisors, whose sum is σ = 387207475200. Its totient is φ = 14213283840.

The previous prime is 77466201097. The next prime is 77466201133. The reversal of 77466201120 is 2110266477.

77466201120 is a `hidden beast` number, since 7 + 7 + 4 + 6 + 620 + 1 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 752098989 + ... + 752099091.

It is an arithmetic number, because the mean of its divisors is an integer number (168058800).

Almost surely, 2^77466201120 is an apocalyptic number.

77466201120 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 77466201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193603737600).

77466201120 is an abundant number, since it is smaller than the sum of its proper divisors (309741274080).

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

77466201120 is a wasteful number, since it uses less digits than its factorization.

77466201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 77466201120 its reverse (2110266477), we get a palindrome (79576467597).

The spelling of 77466201120 in words is "seventy-seven billion, four hundred sixty-six million, two hundred one thousand, one hundred twenty".