77005111680 has 768 divisors, whose sum is σ = 312537139200. Its totient is φ = 17108582400.

The previous prime is 77005111643. The next prime is 77005111697. The reversal of 77005111680 is 8611150077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322197001 + ... + 322197239.

It is an arithmetic number, because the mean of its divisors is an integer number (406949400).

Almost surely, 2^77005111680 is an apocalyptic number.

77005111680 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 77005111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156268569600).

77005111680 is an abundant number, since it is smaller than the sum of its proper divisors (235532027520).

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

77005111680 is a wasteful number, since it uses less digits than its factorization.

77005111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 77005111680 in words is "seventy-seven billion, five million, one hundred eleven thousand, six hundred eighty".