1675878400 has 252 divisors, whose sum is σ = 4863391848. Its totient is φ = 571146240.

The previous prime is 1675878397. The next prime is 1675878401. The reversal of 1675878400 is 48785761.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1675878401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10035117 + ... + 10035283.

It is an arithmetic number, because the mean of its divisors is an integer number (19299174).

Almost surely, 2^1675878400 is an apocalyptic number.

1675878400 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 1675878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431695924).

1675878400 is an abundant number, since it is smaller than the sum of its proper divisors (3187513448).

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

1675878400 is an equidigital number, since it uses as much as digits as its factorization.

1675878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 1675878400 is about 40937.4938167934. The cubic root of 1675878400 is about 1187.8114329981.

The spelling of 1675878400 in words is "one billion, six hundred seventy-five million, eight hundred seventy-eight thousand, four hundred".