677813760 has 480 divisors, whose sum is σ = 2645330688. Its totient is φ = 159252480.

The previous prime is 677813699. The next prime is 677813779. The reversal of 677813760 is 67318776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9285084 + ... + 9285156.

Almost surely, 2^677813760 is an apocalyptic number.

677813760 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 677813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322665344).

677813760 is an abundant number, since it is smaller than the sum of its proper divisors (1967516928).

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

677813760 is a wasteful number, since it uses less digits than its factorization.

677813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 677813760 is about 26034.8566349039. The cubic root of 677813760 is about 878.4225182598.

The spelling of 677813760 in words is "six hundred seventy-seven million, eight hundred thirteen thousand, seven hundred sixty".