677865474 has 144 divisors (see below), whose sum is σ = 1764617400. Its totient is φ = 186785280.

The previous prime is 677865469. The next prime is 677865479. The reversal of 677865474 is 474568776.

It is an interprime number because it is at equal distance from previous prime (677865469) and next prime (677865479).

It can be written as a sum of positive squares in 4 ways, for example, as 187553025 + 490312449 = 13695^2 + 22143^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 677865474.

It is not an unprimeable number, because it can be changed into a prime (677865479) 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 71 ways as a sum of consecutive naturals, for example, 2519812 + ... + 2520080.

Almost surely, 2^677865474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677865474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882308700).

677865474 is an abundant number, since it is smaller than the sum of its proper divisors (1086751926).

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

677865474 is a wasteful number, since it uses less digits than its factorization.

677865474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 677865474 is about 26035.8497844799. The cubic root of 677865474 is about 878.4448575264. Note that the first 3 decimals are identical.

The spelling of 677865474 in words is "six hundred seventy-seven million, eight hundred sixty-five thousand, four hundred seventy-four".