763683840 has 132 divisors (see below), whose sum is σ = 2646304284. Its totient is φ = 203636736.

The previous prime is 763683839. The next prime is 763683847. The reversal of 763683840 is 48386367.

763683840 is a `hidden beast` number, since 7 + 636 + 8 + 3 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398721024 + 364962816 = 19968^2 + 19104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (763683847) 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, 37794 + ... + 54366.

Almost surely, 2^763683840 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 763683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323152142).

763683840 is an abundant number, since it is smaller than the sum of its proper divisors (1882620444).

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

763683840 is a wasteful number, since it uses less digits than its factorization.

763683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16604 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 763683840 is about 27634.8301966920. The cubic root of 763683840 is about 914.0526251048.

It can be divided in two parts, 76368 and 3840, that added together give a palindrome (80208).

The spelling of 763683840 in words is "seven hundred sixty-three million, six hundred eighty-three thousand, eight hundred forty".