677626776 has 128 divisors (see below), whose sum is σ = 1927800000. Its totient is φ = 220492800.

The previous prime is 677626753. The next prime is 677626793.

677626776 is a `hidden beast` number, since 6 + 7 + 7 + 626 + 7 + 7 + 6 = 666.

677626776 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1941450 + ... + 1941798.

Almost surely, 2^677626776 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 677626776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963900000).

677626776 is an abundant number, since it is smaller than the sum of its proper divisors (1250173224).

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

677626776 is a wasteful number, since it uses less digits than its factorization.

677626776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The square root of 677626776 is about 26031.2653553376. The cubic root of 677626776 is about 878.3417359605.

The spelling of 677626776 in words is "six hundred seventy-seven million, six hundred twenty-six thousand, seven hundred seventy-six".