769382789490 has 576 divisors, whose sum is σ = 2529411736320. Its totient is φ = 162912245760.

The previous prime is 769382789489. The next prime is 769382789537. The reversal of 769382789490 is 94987283967.

769382789490 is a `hidden beast` number, since 7 + 6 + 9 + 38 + 27 + 89 + 490 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5615932702 + ... + 5615932838.

It is an arithmetic number, because the mean of its divisors is an integer number (4391339820).

Almost surely, 2^769382789490 is an apocalyptic number.

769382789490 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 769382789490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264705868160).

769382789490 is an abundant number, since it is smaller than the sum of its proper divisors (1760028946830).

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

769382789490 is a wasteful number, since it uses less digits than its factorization.

769382789490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 769382789490 in words is "seven hundred sixty-nine billion, three hundred eighty-two million, seven hundred eighty-nine thousand, four hundred ninety".