677807568 has 80 divisors (see below), whose sum is σ = 1964576640. Its totient is φ = 223727616.

The previous prime is 677807549. The next prime is 677807573. The reversal of 677807568 is 865708776.

677807568 is a `hidden beast` number, since 6 + 7 + 78 + 0 + 7 + 568 = 666.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36880 + ... + 52112.

It is an arithmetic number, because the mean of its divisors is an integer number (24557208).

Almost surely, 2^677807568 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 677807568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982288320).

677807568 is an abundant number, since it is smaller than the sum of its proper divisors (1286769072).

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

677807568 is a wasteful number, since it uses less digits than its factorization.

677807568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15341 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 677807568 is about 26034.7377171348. The cubic root of 677807568 is about 878.4198433810.

The spelling of 677807568 in words is "six hundred seventy-seven million, eight hundred seven thousand, five hundred sixty-eight".