77680028160 has 640 divisors, whose sum is σ = 325579161600. Its totient is φ = 17179361280.

The previous prime is 77680028149. The next prime is 77680028189. The reversal of 77680028160 is 6182008677.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14996451 + ... + 15001629.

It is an arithmetic number, because the mean of its divisors is an integer number (508717440).

Almost surely, 2^77680028160 is an apocalyptic number.

77680028160 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 77680028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162789580800).

77680028160 is an abundant number, since it is smaller than the sum of its proper divisors (247899133440).

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

77680028160 is a wasteful number, since it uses less digits than its factorization.

77680028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 77680028160 in words is "seventy-seven billion, six hundred eighty million, twenty-eight thousand, one hundred sixty".