763242800 has 60 divisors (see below), whose sum is σ = 1837601136. Its totient is φ = 304646400.

The previous prime is 763242769. The next prime is 763242803. The reversal of 763242800 is 8242367.

763242800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×763242800³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (763242803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214637 + ... + 218163.

Almost surely, 2^763242800 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 763242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918800568).

763242800 is an abundant number, since it is smaller than the sum of its proper divisors (1074358336).

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

763242800 is a wasteful number, since it uses less digits than its factorization.

763242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 763242800 is about 27626.8492593709. The cubic root of 763242800 is about 913.8766310703.

The spelling of 763242800 in words is "seven hundred sixty-three million, two hundred forty-two thousand, eight hundred".