763767840 has 384 divisors, whose sum is σ = 2842656768. Its totient is φ = 170311680.

The previous prime is 763767821. The next prime is 763767841. The reversal of 763767840 is 48767367.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 763767840.

It is not an unprimeable number, because it can be changed into a prime (763767841) 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 63 ways as a sum of consecutive naturals, for example, 6013857 + ... + 6013983.

It is an arithmetic number, because the mean of its divisors is an integer number (7402752).

Almost surely, 2^763767840 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 763767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421328384).

763767840 is an abundant number, since it is smaller than the sum of its proper divisors (2078888928).

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

763767840 is a wasteful number, since it uses less digits than its factorization.

763767840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 763767840 is about 27636.3499760732. The cubic root of 763767840 is about 914.0861370555.

The spelling of 763767840 in words is "seven hundred sixty-three million, seven hundred sixty-seven thousand, eight hundred forty".