77699799367680 has 960 divisors, whose sum is σ = 287823818096640. Its totient is φ = 17531871952896.

The previous prime is 77699799367657. The next prime is 77699799367691. The reversal of 77699799367680 is 8676399799677.

It is a tau number, because it is divible by the number of its divisors (960).

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 63 ways as a sum of consecutive naturals, for example, 50032065784 + ... + 50032067336.

It is an arithmetic number, because the mean of its divisors is an integer number (299816477184).

Almost surely, 2^{77699799367680} is an apocalyptic number.

77699799367680 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 77699799367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143911909048320).

77699799367680 is an abundant number, since it is smaller than the sum of its proper divisors (210124018728960).

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

77699799367680 is a wasteful number, since it uses less digits than its factorization.

77699799367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 81663349824, while the sum is 93.

The spelling of 77699799367680 in words is "seventy-seven trillion, six hundred ninety-nine billion, seven hundred ninety-nine million, three hundred sixty-seven thousand, six hundred eighty".