63780480 has 128 divisors (see below), whose sum is σ = 225950400. Its totient is φ = 17003520.

The previous prime is 63780463. The next prime is 63780491. The reversal of 63780480 is 8408736.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15435 + ... + 19125.

Almost surely, 2^63780480 is an apocalyptic number.

63780480 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 63780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112975200).

63780480 is an abundant number, since it is smaller than the sum of its proper divisors (162169920).

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

63780480 is a wasteful number, since it uses less digits than its factorization.

63780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 63780480 is about 7986.2682148798. The cubic root of 63780480 is about 399.5421427836.

The spelling of 63780480 in words is "sixty-three million, seven hundred eighty thousand, four hundred eighty".