678281760 has 288 divisors, whose sum is σ = 2625255360. Its totient is φ = 158091264.

The previous prime is 678281729. The next prime is 678281771. The reversal of 678281760 is 67182876.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×678281760² = 920132291897395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 354727 + ... + 356633.

It is an arithmetic number, because the mean of its divisors is an integer number (9115470).

Almost surely, 2^678281760 is an apocalyptic number.

678281760 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 678281760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312627680).

678281760 is an abundant number, since it is smaller than the sum of its proper divisors (1946973600).

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

678281760 is a wasteful number, since it uses less digits than its factorization.

678281760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 678281760 is about 26043.8430343911. The cubic root of 678281760 is about 878.6246421977.

The spelling of 678281760 in words is "six hundred seventy-eight million, two hundred eighty-one thousand, seven hundred sixty".