677955960 has 256 divisors, whose sum is σ = 2488320000. Its totient is φ = 162823680.

The previous prime is 677955947. The next prime is 677955973. The reversal of 677955960 is 69559776.

It is an interprime number because it is at equal distance from previous prime (677955947) and next prime (677955973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 677955897 and 677955906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1769929 + ... + 1770311.

It is an arithmetic number, because the mean of its divisors is an integer number (9720000).

Almost surely, 2^677955960 is an apocalyptic number.

677955960 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 677955960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160000).

677955960 is an abundant number, since it is smaller than the sum of its proper divisors (1810364040).

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

677955960 is a wasteful number, since it uses less digits than its factorization.

677955960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 677955960 is about 26037.5874458445. The cubic root of 677955960 is about 878.4839426781.

The spelling of 677955960 in words is "six hundred seventy-seven million, nine hundred fifty-five thousand, nine hundred sixty".