77077225176336 has 1280 divisors, whose sum is σ = 285101752320000. Its totient is φ = 19357662320640.

The previous prime is 77077225176253. The next prime is 77077225176437. The reversal of 77077225176336 is 63367152277077.

77077225176336 is a `hidden beast` number, since 7 + 7 + 0 + 7 + 7 + 22 + 517 + 63 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107200590985 + ... + 107200591703.

It is an arithmetic number, because the mean of its divisors is an integer number (222735744000).

Almost surely, 2^{77077225176336} 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 77077225176336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550876160000).

77077225176336 is an abundant number, since it is smaller than the sum of its proper divisors (208024527143664).

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

77077225176336 is a wasteful number, since it uses less digits than its factorization.

77077225176336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 108909360, while the sum is 63.

The spelling of 77077225176336 in words is "seventy-seven trillion, seventy-seven billion, two hundred twenty-five million, one hundred seventy-six thousand, three hundred thirty-six".