77406925639680 has 6240 divisors, whose sum is σ = 382672238699520. Its totient is φ = 14768437985280.

The previous prime is 77406925639657. The next prime is 77406925639699. The reversal of 77406925639680 is 8693652960477.

77406925639680 is a `hidden beast` number, since 7 + 7 + 406 + 9 + 2 + 56 + 3 + 96 + 80 = 666.

77406925639680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77406925639599 and 77406925639608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 556884357051 + ... + 556884357189.

Almost surely, 2^{77406925639680} is an apocalyptic number.

77406925639680 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 77406925639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191336119349760).

77406925639680 is an abundant number, since it is smaller than the sum of its proper divisors (305265313059840).

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

77406925639680 is a wasteful number, since it uses less digits than its factorization.

77406925639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 77406925639680 in words is "seventy-seven trillion, four hundred six billion, nine hundred twenty-five million, six hundred thirty-nine thousand, six hundred eighty".