82777860160 has 56 divisors (see below), whose sum is σ = 197155512216. Its totient is φ = 33104302080.

The previous prime is 82777860049. The next prime is 82777860173. The reversal of 82777860160 is 6106877728.

It can be written as a sum of positive squares in 4 ways, for example, as 11719361536 + 71058498624 = 108256^2 + 266568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82777860098 and 82777860107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1697884 + ... + 1745956.

Almost surely, 2^82777860160 is an apocalyptic number.

82777860160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82777860160 is an abundant number, since it is smaller than the sum of its proper divisors (114377652056).

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

82777860160 is a wasteful number, since it uses less digits than its factorization.

82777860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53471 (or 53461 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 82777860160 in words is "eighty-two billion, seven hundred seventy-seven million, eight hundred sixty thousand, one hundred sixty".