763540992 has 360 divisors, whose sum is σ = 2553727176. Its totient is φ = 226934784.

The previous prime is 763540963. The next prime is 763540993. The reversal of 763540992 is 299045367.

It is a happy number.

763540992 is a `hidden beast` number, since 7 + 635 + 4 + 0 + 9 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763540993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40186359 + ... + 40186377.

Almost surely, 2^763540992 is an apocalyptic number.

763540992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276863588).

763540992 is an abundant number, since it is smaller than the sum of its proper divisors (1790186184).

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

763540992 is an equidigital number, since it uses as much as digits as its factorization.

763540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 763540992 is about 27632.2455113586. The cubic root of 763540992 is about 913.9956299957.

The spelling of 763540992 in words is "seven hundred sixty-three million, five hundred forty thousand, nine hundred ninety-two".