763556640 has 384 divisors, whose sum is σ = 3050514432. Its totient is φ = 155934720.

The previous prime is 763556621. The next prime is 763556641. The reversal of 763556640 is 46655367.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 763556592 and 763556601.

It is not an unprimeable number, because it can be changed into a prime (763556641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2697939 + ... + 2698221.

It is an arithmetic number, because the mean of its divisors is an integer number (7944048).

Almost surely, 2^763556640 is an apocalyptic number.

763556640 is a gapful number since it is divisible by the number (70) 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 763556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525257216).

763556640 is an abundant number, since it is smaller than the sum of its proper divisors (2286957792).

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

763556640 is a wasteful number, since it uses less digits than its factorization.

763556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 763556640 is about 27632.5286573632. The cubic root of 763556640 is about 914.0018737582.

The spelling of 763556640 in words is "seven hundred sixty-three million, five hundred fifty-six thousand, six hundred forty".