1678453920 has 864 divisors, whose sum is σ = 7360113600. Its totient is φ = 355829760.

The previous prime is 1678453919. The next prime is 1678453943. The reversal of 1678453920 is 293548761.

1678453920 is a `hidden beast` number, since 16 + 7 + 84 + 539 + 20 = 666.

1678453920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

1678453920 is strictly pandigital in base 10.

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 143 ways as a sum of consecutive naturals, for example, 88339671 + ... + 88339689.

It is an arithmetic number, because the mean of its divisors is an integer number (8518650).

It is a 1-persistent number, because it is pandigital, but 2⋅1678453920 = 3356907840 is not.

Almost surely, 2^1678453920 is an apocalyptic number.

1678453920 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 1678453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680056800).

1678453920 is an abundant number, since it is smaller than the sum of its proper divisors (5681659680).

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

1678453920 is a wasteful number, since it uses less digits than its factorization.

1678453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1678453920 is about 40968.9384778273. The cubic root of 1678453920 is about 1188.4196048634.

The spelling of 1678453920 in words is "one billion, six hundred seventy-eight million, four hundred fifty-three thousand, nine hundred twenty".