65878400 has 192 divisors, whose sum is σ = 198067680. Its totient is φ = 21135360.

The previous prime is 65878399. The next prime is 65878403. The reversal of 65878400 is 487856.

65878400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65878403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380714 + ... + 380886.

Almost surely, 2^65878400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99033840).

65878400 is an abundant number, since it is smaller than the sum of its proper divisors (132189280).

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

65878400 is a wasteful number, since it uses less digits than its factorization.

65878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 65878400 is about 8116.5509916466. The cubic root of 65878400 is about 403.8756601966.

The spelling of 65878400 in words is "sixty-five million, eight hundred seventy-eight thousand, four hundred".