677975760 has 360 divisors, whose sum is σ = 2891038176. Its totient is φ = 140797440.

The previous prime is 677975729. The next prime is 677975773. The reversal of 677975760 is 67579776.

677975760 is a `hidden beast` number, since 67 + 7 + 9 + 7 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×677975760² = 919302262295155200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 677975697 and 677975706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387207 + ... + 388953.

Almost surely, 2^677975760 is an apocalyptic number.

677975760 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 677975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445519088).

677975760 is an abundant number, since it is smaller than the sum of its proper divisors (2213062416).

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

677975760 is a wasteful number, since it uses less digits than its factorization.

677975760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The square root of 677975760 is about 26037.9676626268. The cubic root of 677975760 is about 878.4924947640.

The spelling of 677975760 in words is "six hundred seventy-seven million, nine hundred seventy-five thousand, seven hundred sixty".