675789840 has 180 divisors, whose sum is σ = 2494926252. Its totient is φ = 163806720.

The previous prime is 675789827. The next prime is 675789869. The reversal of 675789840 is 48987576.

675789840 is a `hidden beast` number, since 67 + 578 + 9 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 407878416 + 267911424 = 20196^2 + 16368^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83242 + ... + 90998.

Almost surely, 2^675789840 is an apocalyptic number.

675789840 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 675789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247463126).

675789840 is an abundant number, since it is smaller than the sum of its proper divisors (1819136412).

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

675789840 is a wasteful number, since it uses less digits than its factorization.

675789840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 675789840 is about 25995.9581473736. The cubic root of 675789840 is about 877.5473371595.

The spelling of 675789840 in words is "six hundred seventy-five million, seven hundred eighty-nine thousand, eight hundred forty".