77976168991488 has 288 divisors, whose sum is σ = 238906121216000. Its totient is φ = 25060766515200.

The previous prime is 77976168991463. The next prime is 77976168991507. The reversal of 77976168991488 is 88419986167977.

77976168991488 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 61 + 68 + 9 + 9 + 1 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 77976168991398 and 77976168991407.

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 31 ways as a sum of consecutive naturals, for example, 57396288 + ... + 58739136.

Almost surely, 2^{77976168991488} 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 77976168991488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119453060608000).

77976168991488 is an abundant number, since it is smaller than the sum of its proper divisors (160929952224512).

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

77976168991488 is a wasteful number, since it uses less digits than its factorization.

77976168991488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343176 (or 1343156 counting only the distinct ones).

The product of its digits is 18435465216, while the sum is 90.

The spelling of 77976168991488 in words is "seventy-seven trillion, nine hundred seventy-six billion, one hundred sixty-eight million, nine hundred ninety-one thousand, four hundred eighty-eight".