769842036480 has 1728 divisors, whose sum is σ = 3069100339200. Its totient is φ = 163499212800.

The previous prime is 769842036443. The next prime is 769842036527. The reversal of 769842036480 is 84630248967.

It is a super-2 number, since 2×769842036480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 769842036480.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 7936515792 + ... + 7936515888.

Almost surely, 2^769842036480 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 769842036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534550169600).

769842036480 is an abundant number, since it is smaller than the sum of its proper divisors (2299258302720).

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

769842036480 is a wasteful number, since it uses less digits than its factorization.

769842036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 769842036480 in words is "seven hundred sixty-nine billion, eight hundred forty-two million, thirty-six thousand, four hundred eighty".