855878400 has 540 divisors, whose sum is σ = 3434835712. Its totient is φ = 209018880.

The previous prime is 855878399. The next prime is 855878417. The reversal of 855878400 is 4878558.

It is a tau number, because it is divible by the number of its divisors (540).

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

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 59 ways as a sum of consecutive naturals, for example, 6739137 + ... + 6739263.

Almost surely, 2^855878400 is an apocalyptic number.

855878400 is a gapful number since it is divisible by the number (80) 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 855878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717417856).

855878400 is an abundant number, since it is smaller than the sum of its proper divisors (2578957312).

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

855878400 is a wasteful number, since it uses less digits than its factorization.

855878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 855878400 is about 29255.3995016305. The cubic root of 855878400 is about 949.4469172124.

The spelling of 855878400 in words is "eight hundred fifty-five million, eight hundred seventy-eight thousand, four hundred".