64878400 has 168 divisors, whose sum is σ = 174613824. Its totient is φ = 23654400.

The previous prime is 64878391. The next prime is 64878403. The reversal of 64878400 is 487846.

It is a self number, because there is not a number n which added to its sum of digits gives 64878400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64878403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508779 + ... + 1508821.

It is an arithmetic number, because the mean of its divisors is an integer number (1039368).

Almost surely, 2^64878400 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 64878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87306912).

64878400 is an abundant number, since it is smaller than the sum of its proper divisors (109735424).

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

64878400 is a wasteful number, since it uses less digits than its factorization.

64878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 64878400 is about 8054.7129061190. The cubic root of 64878400 is about 401.8216910101.

The spelling of 64878400 in words is "sixty-four million, eight hundred seventy-eight thousand, four hundred".