77697559225440 has 5760 divisors, whose sum is σ = 388016308592640. Its totient is φ = 14307640934400.

The previous prime is 77697559225439. The next prime is 77697559225493. The reversal of 77697559225440 is 4452295579677.

77697559225440 is a `hidden beast` number, since 7 + 7 + 6 + 9 + 7 + 5 + 59 + 22 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2099934033102 + ... + 2099934033138.

It is an arithmetic number, because the mean of its divisors is an integer number (67363942464).

Almost surely, 2^{77697559225440} is an apocalyptic number.

77697559225440 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 77697559225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194008154296320).

77697559225440 is an abundant number, since it is smaller than the sum of its proper divisors (310318749367200).

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

77697559225440 is a wasteful number, since it uses less digits than its factorization.

77697559225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 72.

The spelling of 77697559225440 in words is "seventy-seven trillion, six hundred ninety-seven billion, five hundred fifty-nine million, two hundred twenty-five thousand, four hundred forty".