63785700 has 216 divisors, whose sum is σ = 231547680. Its totient is φ = 14515200.

The previous prime is 63785699. The next prime is 63785707. The reversal of 63785700 is 758736.

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

It is not an unprimeable number, because it can be changed into a prime (63785707) 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, 168111 + ... + 168489.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^63785700 is an apocalyptic number.

63785700 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 63785700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

63785700 is an abundant number, since it is smaller than the sum of its proper divisors (167761980).

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

63785700 is a wasteful number, since it uses less digits than its factorization.

63785700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 63785700 is about 7986.5950191555. The cubic root of 63785700 is about 399.5530424250.

The spelling of 63785700 in words is "sixty-three million, seven hundred eighty-five thousand, seven hundred".