763600400 has 120 divisors (see below), whose sum is σ = 1902018888. Its totient is φ = 294400000.

The previous prime is 763600303. The next prime is 763600403. The reversal of 763600400 is 4006367.

It can be written as a sum of positive squares in 12 ways, for example, as 254466304 + 509134096 = 15952^2 + 22564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 763600400.

It is not an unprimeable number, because it can be changed into a prime (763600403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656170 + ... + 1656630.

Almost surely, 2^763600400 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 763600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951009444).

763600400 is an abundant number, since it is smaller than the sum of its proper divisors (1138418488).

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

763600400 is a wasteful number, since it uses less digits than its factorization.

763600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 763600400 is about 27633.3204664224. The cubic root of 763600400 is about 914.0193341342.

Adding to 763600400 its reverse (4006367), we get a palindrome (767606767).

The spelling of 763600400 in words is "seven hundred sixty-three million, six hundred thousand, four hundred".