677478960 has 240 divisors, whose sum is σ = 2376990720. Its totient is φ = 172730880.

The previous prime is 677478959. The next prime is 677478973. The reversal of 677478960 is 69874776.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 677478897 and 677478906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2834521 + ... + 2834759.

It is an arithmetic number, because the mean of its divisors is an integer number (9904128).

Almost surely, 2^677478960 is an apocalyptic number.

677478960 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 677478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188495360).

677478960 is an abundant number, since it is smaller than the sum of its proper divisors (1699511760).

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

677478960 is a wasteful number, since it uses less digits than its factorization.

677478960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 677478960 is about 26028.4259992801. The cubic root of 677478960 is about 878.2778648108.

The spelling of 677478960 in words is "six hundred seventy-seven million, four hundred seventy-eight thousand, nine hundred sixty".