677828828776 has 32 divisors (see below), whose sum is σ = 1391367290400. Its totient is φ = 307015295040.

The previous prime is 677828828773. The next prime is 677828828779.

677828828776 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (677828828773) and next prime (677828828779).

It is a super-2 number, since 2×677828828776² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (677828828771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13583931 + ... + 13633738.

It is an arithmetic number, because the mean of its divisors is an integer number (43480227825).

Almost surely, 2^677828828776 is an apocalyptic number.

It is an amenable number.

677828828776 is an abundant number, since it is smaller than the sum of its proper divisors (713538461624).

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

677828828776 is a wasteful number, since it uses less digits than its factorization.

677828828776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27217969 (or 27217965 counting only the distinct ones).

The product of its digits is 1416167424, while the sum is 76.

The spelling of 677828828776 in words is "six hundred seventy-seven billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, seven hundred seventy-six".