763600820 has 54 divisors (see below), whose sum is σ = 1658000358. Its totient is φ = 295405632.

The previous prime is 763600813. The next prime is 763600847. The reversal of 763600820 is 28006367.

It can be written as a sum of positive squares in 3 ways, for example, as 375274384 + 388326436 = 19372^2 + 19706^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4572377 + ... + 4572543.

Almost surely, 2^763600820 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 763600820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829000179).

763600820 is an abundant number, since it is smaller than the sum of its proper divisors (894399538).

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

763600820 is a wasteful number, since it uses less digits than its factorization.

763600820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 763600820 is about 27633.3280659424. The cubic root of 763600820 is about 914.0195017122.

The spelling of 763600820 in words is "seven hundred sixty-three million, six hundred thousand, eight hundred twenty".