63802080 has 168 divisors, whose sum is σ = 226408392. Its totient is φ = 16982784.

The previous prime is 63802051. The next prime is 63802087. The reversal of 63802080 is 8020836.

63802080 is a `hidden beast` number, since 638 + 0 + 20 + 8 + 0 = 666.

63802080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63802087) 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 27 ways as a sum of consecutive naturals, for example, 116367 + ... + 116913.

It is an arithmetic number, because the mean of its divisors is an integer number (1347669).

Almost surely, 2^63802080 is an apocalyptic number.

63802080 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 63802080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113204196).

63802080 is an abundant number, since it is smaller than the sum of its proper divisors (162606312).

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

63802080 is an equidigital number, since it uses as much as digits as its factorization.

63802080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 63802080 is about 7987.6204216275. The cubic root of 63802080 is about 399.5872408880.

The spelling of 63802080 in words is "sixty-three million, eight hundred two thousand, eighty".