763409040 has 120 divisors (see below), whose sum is σ = 2404173504. Its totient is φ = 200390400.

The previous prime is 763409027. The next prime is 763409041. The reversal of 763409040 is 40904367.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 763408992 and 763409010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763409041) 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 23 ways as a sum of consecutive naturals, for example, 1209525 + ... + 1210155.

Almost surely, 2^763409040 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 763409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202086752).

763409040 is an abundant number, since it is smaller than the sum of its proper divisors (1640764464).

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

763409040 is a wasteful number, since it uses less digits than its factorization.

763409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 763409040 is about 27629.8577629346. The cubic root of 763409040 is about 913.9429759794.

The spelling of 763409040 in words is "seven hundred sixty-three million, four hundred nine thousand, forty".