77865376680 has 2048 divisors, whose sum is σ = 367718400000. Its totient is φ = 14485008384.

The previous prime is 77865376679. The next prime is 77865376733. The reversal of 77865376680 is 8667356877.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2104469622 + ... + 2104469658.

It is an arithmetic number, because the mean of its divisors is an integer number (179550000).

Almost surely, 2^77865376680 is an apocalyptic number.

77865376680 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 77865376680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200000).

77865376680 is an abundant number, since it is smaller than the sum of its proper divisors (289853023320).

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

77865376680 is a wasteful number, since it uses less digits than its factorization.

77865376680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 77865376680 in words is "seventy-seven billion, eight hundred sixty-five million, three hundred seventy-six thousand, six hundred eighty".