77140425600 has 1536 divisors, whose sum is σ = 349084800000. Its totient is φ = 16582164480.

The previous prime is 77140425577. The next prime is 77140425667. The reversal of 77140425600 is 652404177.

77140425600 is a `hidden beast` number, since 7 + 7 + 1 + 4 + 0 + 42 + 5 + 600 = 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 191 ways as a sum of consecutive naturals, for example, 563068732 + ... + 563068868.

It is an arithmetic number, because the mean of its divisors is an integer number (227268750).

Almost surely, 2^77140425600 is an apocalyptic number.

77140425600 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 77140425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174542400000).

77140425600 is an abundant number, since it is smaller than the sum of its proper divisors (271944374400).

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

77140425600 is a wasteful number, since it uses less digits than its factorization.

77140425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 77140425600 its reverse (652404177), we get a palindrome (77792829777).

The spelling of 77140425600 in words is "seventy-seven billion, one hundred forty million, four hundred twenty-five thousand, six hundred".