77966254080 has 1792 divisors, whose sum is σ = 356703782400. Its totient is φ = 15854469120.

The previous prime is 77966254033. The next prime is 77966254127. The reversal of 77966254080 is 8045266977.

77966254080 is a `hidden beast` number, since 7 + 7 + 9 + 6 + 625 + 4 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77966254033) and next prime (77966254127).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2688491506 + ... + 2688491534.

It is an arithmetic number, because the mean of its divisors is an integer number (199053450).

Almost surely, 2^77966254080 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 77966254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178351891200).

77966254080 is an abundant number, since it is smaller than the sum of its proper divisors (278737528320).

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

77966254080 is a wasteful number, since it uses less digits than its factorization.

77966254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77966254080 in words is "seventy-seven billion, nine hundred sixty-six million, two hundred fifty-four thousand, eighty".