1678578840 has 96 divisors (see below), whose sum is σ = 5503792320. Its totient is φ = 443649024.

The previous prime is 1678578829. The next prime is 1678578859. The reversal of 1678578840 is 488758761.

It is a happy number.

1678578840 is a `hidden beast` number, since 1 + 67 + 8 + 578 + 8 + 4 + 0 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20049 + ... + 61311.

It is an arithmetic number, because the mean of its divisors is an integer number (57331170).

Almost surely, 2^1678578840 is an apocalyptic number.

1678578840 is a gapful number since it is divisible by the number (10) 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 1678578840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751896160).

1678578840 is an abundant number, since it is smaller than the sum of its proper divisors (3825213480).

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

1678578840 is a wasteful number, since it uses less digits than its factorization.

1678578840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41393 (or 41386 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 1678578840 is about 40970.4630191068. The cubic root of 1678578840 is about 1188.4490870935.

The spelling of 1678578840 in words is "one billion, six hundred seventy-eight million, five hundred seventy-eight thousand, eight hundred forty".