77866056576 has 768 divisors, whose sum is σ = 300622233600. Its totient is φ = 18733731840.

The previous prime is 77866056571. The next prime is 77866056601. The reversal of 77866056576 is 67565066877.

77866056576 is a `hidden beast` number, since 7 + 7 + 8 + 6 + 6 + 0 + 56 + 576 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77866056571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79212181 + ... + 79213163.

It is an arithmetic number, because the mean of its divisors is an integer number (391435200).

Almost surely, 2^77866056576 is an apocalyptic number.

77866056576 is a gapful number since it is divisible by the number (76) 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 77866056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150311116800).

77866056576 is an abundant number, since it is smaller than the sum of its proper divisors (222756177024).

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

77866056576 is a wasteful number, since it uses less digits than its factorization.

77866056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 77866056576 in words is "seventy-seven billion, eight hundred sixty-six million, fifty-six thousand, five hundred seventy-six".