769245904000 has 576 divisors, whose sum is σ = 2301122711160. Its totient is φ = 254983680000.

The previous prime is 769245903977. The next prime is 769245904027. The reversal of 769245904000 is 409542967.

It can be written as a sum of positive squares in 4 ways, for example, as 255202790976 + 514043113024 = 505176^2 + 716968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 753423490 + ... + 753424510.

Almost surely, 2^769245904000 is an apocalyptic number.

769245904000 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 769245904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150561355580).

769245904000 is an abundant number, since it is smaller than the sum of its proper divisors (1531876807160).

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

769245904000 is a wasteful number, since it uses less digits than its factorization.

769245904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 769245904000 in words is "seven hundred sixty-nine billion, two hundred forty-five million, nine hundred four thousand".