677675760 has 160 divisors (see below), whose sum is σ = 2240213760. Its totient is φ = 168873984.

The previous prime is 677675737. The next prime is 677675767. The reversal of 677675760 is 67576776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677675767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664531 + ... + 665549.

It is an arithmetic number, because the mean of its divisors is an integer number (14001336).

Almost surely, 2^677675760 is an apocalyptic number.

677675760 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 677675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120106880).

677675760 is an abundant number, since it is smaller than the sum of its proper divisors (1562538000).

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

677675760 is a wasteful number, since it uses less digits than its factorization.

677675760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 51.

The square root of 677675760 is about 26032.2062069276. The cubic root of 677675760 is about 878.3628998501.

The spelling of 677675760 in words is "six hundred seventy-seven million, six hundred seventy-five thousand, seven hundred sixty".