77997459703680 has 1280 divisors, whose sum is σ = 317511753292800. Its totient is φ = 18061553664000.

The previous prime is 77997459703637. The next prime is 77997459703693. The reversal of 77997459703680 is 8630795479977.

77997459703680 is a `hidden beast` number, since 7 + 7 + 9 + 97 + 459 + 70 + 3 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 77997459703680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10610452005 + ... + 10610459355.

It is an arithmetic number, because the mean of its divisors is an integer number (248056057260).

Almost surely, 2^{77997459703680} 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 77997459703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158755876646400).

77997459703680 is an abundant number, since it is smaller than the sum of its proper divisors (239514293589120).

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

77997459703680 is a wasteful number, since it uses less digits than its factorization.

77997459703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8225 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 5040947520, while the sum is 81.

The spelling of 77997459703680 in words is "seventy-seven trillion, nine hundred ninety-seven billion, four hundred fifty-nine million, seven hundred three thousand, six hundred eighty".