64878800 has 240 divisors, whose sum is σ = 199272960. Its totient is φ = 19783680.

The previous prime is 64878799. The next prime is 64878841. The reversal of 64878800 is 887846.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380377 + ... + 1380423.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 2^64878800 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 64878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

64878800 is an abundant number, since it is smaller than the sum of its proper divisors (134394160).

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

64878800 is a wasteful number, since it uses less digits than its factorization.

64878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 64878800 is about 8054.7377362643. The cubic root of 64878800 is about 401.8225168029.

The spelling of 64878800 in words is "sixty-four million, eight hundred seventy-eight thousand, eight hundred".