63978080 has 48 divisors (see below), whose sum is σ = 151792704. Its totient is φ = 25482240.

The previous prime is 63978037. The next prime is 63978091. The reversal of 63978080 is 8087936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44249 + ... + 45671.

It is an arithmetic number, because the mean of its divisors is an integer number (3162348).

Almost surely, 2^63978080 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 63978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75896352).

63978080 is an abundant number, since it is smaller than the sum of its proper divisors (87814624).

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

63978080 is a wasteful number, since it uses less digits than its factorization.

63978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 63978080 is about 7998.6298826737. The cubic root of 63978080 is about 399.9543281187.

The spelling of 63978080 in words is "sixty-three million, nine hundred seventy-eight thousand, eighty".