763827280 has 20 divisors (see below), whose sum is σ = 1775898612. Its totient is φ = 305530880.

The previous prime is 763827257. The next prime is 763827283. The reversal of 763827280 is 82728367.

It can be written as a sum of positive squares in 2 ways, for example, as 556582464 + 207244816 = 23592^2 + 14396^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×763827280² = 1166864227344396800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763827283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4773841 + ... + 4774000.

Almost surely, 2^763827280 is an apocalyptic number.

It is an amenable number.

763827280 is an abundant number, since it is smaller than the sum of its proper divisors (1012071332).

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

763827280 is a wasteful number, since it uses less digits than its factorization.

763827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547854 (or 9547848 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 763827280 is about 27637.4253504193. The cubic root of 763827280 is about 914.1098492656.

The spelling of 763827280 in words is "seven hundred sixty-three million, eight hundred twenty-seven thousand, two hundred eighty".