63760000 has 80 divisors (see below), whose sum is σ = 158925690. Its totient is φ = 25472000.

The previous prime is 63759973. The next prime is 63760001. The reversal of 63760000 is 6736.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 652864 + 63107136 = 808^2 + 7944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (63760001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79602 + ... + 80398.

Almost surely, 2^63760000 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 63760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79462845).

63760000 is an abundant number, since it is smaller than the sum of its proper divisors (95165690).

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

63760000 is an frugal number, since it uses more digits than its factorization.

63760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 63760000 is about 7984.9859110709. The cubic root of 63760000 is about 399.4993736947.

Adding to 63760000 its reverse (6736), we get a palindrome (63766736).

The spelling of 63760000 in words is "sixty-three million, seven hundred sixty thousand".