64780200 has 288 divisors, whose sum is σ = 241558200. Its totient is φ = 15482880.

The previous prime is 64780193. The next prime is 64780201. The reversal of 64780200 is 208746.

64780200 = T₂₈₅ + T₂₈₆ + ... + T₇₄₃.

It can be written as a sum of positive squares in 12 ways, for example, as 11985444 + 52794756 = 3462^2 + 7266^2 .

It is not an unprimeable number, because it can be changed into a prime (64780201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 887364 + ... + 887436.

Almost surely, 2^64780200 is an apocalyptic number.

64780200 is a gapful number since it is divisible by the number (60) 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 64780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120779100).

64780200 is an abundant number, since it is smaller than the sum of its proper divisors (176778000).

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

64780200 is a wasteful number, since it uses less digits than its factorization.

64780200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 64780200 is about 8048.6147876514. The cubic root of 64780200 is about 401.6188560905.

Adding to 64780200 its reverse (208746), we get a palindrome (64988946).

It can be divided in two parts, 64780 and 200, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 64780200 in words is "sixty-four million, seven hundred eighty thousand, two hundred".