677563440 has 160 divisors (see below), whose sum is σ = 2210858496. Its totient is φ = 171325440.

The previous prime is 677563433. The next prime is 677563451. The reversal of 677563440 is 44365776.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 677563392 and 677563401.

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 31 ways as a sum of consecutive naturals, for example, 722652 + ... + 723588.

Almost surely, 2^677563440 is an apocalyptic number.

677563440 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 677563440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105429248).

677563440 is an abundant number, since it is smaller than the sum of its proper divisors (1533295056).

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

677563440 is a wasteful number, since it uses less digits than its factorization.

677563440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 677563440 is about 26030.0487898121. The cubic root of 677563440 is about 878.3143696740.

The spelling of 677563440 in words is "six hundred seventy-seven million, five hundred sixty-three thousand, four hundred forty".