64782400 has 84 divisors (see below), whose sum is σ = 167873680. Its totient is φ = 24537600.

The previous prime is 64782397. The next prime is 64782407. The reversal of 64782400 is 428746.

It is not an unprimeable number, because it can be changed into a prime (64782407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29335 + ... + 31465.

Almost surely, 2^64782400 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 64782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83936840).

64782400 is an abundant number, since it is smaller than the sum of its proper divisors (103091280).

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

64782400 is a wasteful number, since it uses less digits than its factorization.

64782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 64782400 is about 8048.7514559713. The cubic root of 64782400 is about 401.6234024976.

The spelling of 64782400 in words is "sixty-four million, seven hundred eighty-two thousand, four hundred".