677549880 has 512 divisors, whose sum is σ = 2799360000. Its totient is φ = 142331904.

The previous prime is 677549879. The next prime is 677549891. The reversal of 677549880 is 88945776.

677549880 is a `hidden beast` number, since 6 + 7 + 75 + 498 + 80 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7612876 + ... + 7612964.

It is an arithmetic number, because the mean of its divisors is an integer number (5467500).

Almost surely, 2^677549880 is an apocalyptic number.

677549880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677549880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399680000).

677549880 is an abundant number, since it is smaller than the sum of its proper divisors (2121810120).

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

677549880 is a wasteful number, since it uses less digits than its factorization.

677549880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 677549880 is about 26029.7883203072. The cubic root of 677549880 is about 878.3085104330.

The spelling of 677549880 in words is "six hundred seventy-seven million, five hundred forty-nine thousand, eight hundred eighty".