769282600900 has 144 divisors (see below), whose sum is σ = 1928926040832. Its totient is φ = 263188224000.

The previous prime is 769282600897. The next prime is 769282600907. The reversal of 769282600900 is 9006282967.

It is not an unprimeable number, because it can be changed into a prime (769282600907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68006245 + ... + 68017555.

It is an arithmetic number, because the mean of its divisors is an integer number (13395319728).

Almost surely, 2^769282600900 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 769282600900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964463020416).

769282600900 is an abundant number, since it is smaller than the sum of its proper divisors (1159643439932).

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

769282600900 is a wasteful number, since it uses less digits than its factorization.

769282600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14990 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 769282600900 in words is "seven hundred sixty-nine billion, two hundred eighty-two million, six hundred thousand, nine hundred".