769903104000 has 1664 divisors, whose sum is σ = 2983295877120. Its totient is φ = 175177728000.

The previous prime is 769903103993. The next prime is 769903104017. The reversal of 769903104000 is 401309967.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 769903104000.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 20808191982 + ... + 20808192018.

It is an arithmetic number, because the mean of its divisors is an integer number (1792846080).

Almost surely, 2^769903104000 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 769903104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491647938560).

769903104000 is an abundant number, since it is smaller than the sum of its proper divisors (2213392773120).

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

769903104000 is a wasteful number, since it uses less digits than its factorization.

769903104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 769903104000 in words is "seven hundred sixty-nine billion, nine hundred three million, one hundred four thousand".