677989776 has 80 divisors (see below), whose sum is σ = 1842882048. Its totient is φ = 214502400.

The previous prime is 677989759. The next prime is 677989777.

677989776 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (677989777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68161 + ... + 77471.

Almost surely, 2^677989776 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 677989776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921441024).

677989776 is an abundant number, since it is smaller than the sum of its proper divisors (1164892272).

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

677989776 is a wasteful number, since it uses less digits than its factorization.

677989776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400 (or 9394 counting only the distinct ones).

The product of its digits is 56010528, while the sum is 66.

The square root of 677989776 is about 26038.2368066657. The cubic root of 677989776 is about 878.4985485035.

The spelling of 677989776 in words is "six hundred seventy-seven million, nine hundred eighty-nine thousand, seven hundred seventy-six".