769940640000 has 2520 divisors, whose sum is σ = 3517568917632. Its totient is φ = 164229120000.

The previous prime is 769940639983. The next prime is 769940640097. The reversal of 769940640000 is 46049967.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 279 ways as a sum of consecutive naturals, for example, 18779039980 + ... + 18779040020.

Almost surely, 2^769940640000 is an apocalyptic number.

769940640000 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 769940640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758784458816).

769940640000 is an abundant number, since it is smaller than the sum of its proper divisors (2747628277632).

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

769940640000 is an frugal number, since it uses more digits than its factorization.

769940640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

Adding to 769940640000 its reverse (46049967), we get a palindrome (769986689967).

The spelling of 769940640000 in words is "seven hundred sixty-nine billion, nine hundred forty million, six hundred forty thousand".