63078400 has 192 divisors, whose sum is σ = 195032160. Its totient is φ = 19660800.

The previous prime is 63078373. The next prime is 63078413. The reversal of 63078400 is 487036.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5734395 + ... + 5734405.

Almost surely, 2^63078400 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 63078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97516080).

63078400 is an abundant number, since it is smaller than the sum of its proper divisors (131953760).

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

63078400 is an equidigital number, since it uses as much as digits as its factorization.

63078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 63078400 is about 7942.1911334341. The cubic root of 63078400 is about 398.0707095567.

The spelling of 63078400 in words is "sixty-three million, seventy-eight thousand, four hundred".